Cricket Australia said Brown was the country's oldest Test player when he died in Brisbane on Sunday and the last Australian to play Test cricket in the pre-World War II era.
A right-handed opening batsman, Brown represented Australia in 22 Tests between 1934 and 1948, averaging 46.82 and posting a high score of 206 at Lord's in 1938.
He was named Wisden Cricket of the Year in 1939, before his career was interrupted the the war, in which he served as a Royal Australian Air Force flight lieutenant in New Guinea and northern Australia.
Brown captained Australia just once, in the first trans-Tasman Test against New Zealand in 1946, then in 1948 was a member of Bradman's "Invincibles" team which toured England undefeated.
Cricket Australia chairman Creagh O'Connor said Brown would always be honoured as a member of that extraordinary group, which has been described as the greatest cricket side to leave Australian shores.
"But those of us who had the good fortune to meet and know him in more recent years will also remember him with great affection as an impish wit and good-humoured servant of the game," he said.
Queensland Cricket chairman Damien Mullins said Brown had been "a direct link to a special era of the game".
He remained a keen student of the game in the modern era and was called upon to hand Adam Gilchrist and Michael Hussey their green Test caps on their debuts.
"For us he was the embodiment of everything great about the baggy green cap," former Test captain Steve Waugh said.
"He had everything -- strength, great ethics, character and wonderful stories from the past and yet still had great respect for the modern game."
Brown is survived by his wife Barbara and sons Peter, Geoffrey and Steve.