The final rosters for the upcoming NFL season haven't been released yet, so these numbers are current as of the 2013 NFL season. LSU, Miami (Florida), and USC are all three tied with 58 current NFL players.
University of miami
Bulls
The USC Trojans
University of miami
USC
Unc
Notre Dame
uconn
anywhere from 14-17 players
5 players for each team.
The Denver Brocos with 32 players from Texas on its 2013 roster
There is no limit on the number of players on a team. The NCAA limits scholarships to 13, and 15 total can suit up for a game. Kentucky had 20 players on the team in Billy G's last year. Obviously five of those did not make the trip for away games or suit up for home games.