The squad will be whittled down to 22 players in mid-July, with only three of those squad members to be born before 1993.
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Along with Ibrahimovic, 34, the enlarged squad includes only two other players currently featuring at the European championships in France: defenders Victor Lindelof, 21, and Ludwig Augustinsson, 22.
Coach Hakan Eriksson said the problem he faced was being able to find clubs ready to release players for the August 5-21 Olympics.
"It's a headache, extremely complicated," Eriksson said.
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"Some clubs say yes, others no, and others have not yet decided."
Ibrahimovic is out of contract with Paris Saint-Germain after four seasons in Ligue 1, but is yet to commit to a new club, although Manchester United are rumoured to be favourites to seal his signing.
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