The university said it had concluded negotiations that have lasted about a year.
The school said 23 deals are fully signed and three are agreements in principle. The school faces six other claims, and the university says it believes some do not have merit while others may produce settlements.
The settlements have been unfolding since mid-August, when attorneys for the accusers began to disclose them. Penn State followed a policy in which it has not been confirming them, waiting instead to announce deals at once.
Penn State has spent more than $50 million on other costs related to the Sandusky scandal, including lawyers' fees, public relations expenses, and adoption of new policies and procedures related to children and sexual abuse complaints.
Sandusky, 69, has been pursuing appeals while he serves a 30- to 60-year state prison sentence.
Three former Penn State administrators await trial in Harrisburg on charges they engaged in a criminal cover-up of the Sandusky scandal. Former president Graham Spanier, retired vice president Gary Schultz and retired athletic director Tim Curley deny the allegations, and a trial date has not been scheduled.
Eight young men testified against Sandusky, describing a range of abuse they said went from grooming and manipulation to fondling, oral sex and anal rape when they were boys.
Sandusky did not testify at his trial but has long asserted his innocence. He has acknowledged he showered with boys but insisted he never molested them.
The abuse scandal rocked Penn State, bringing down football coach Joe Paterno and leading college sports' governing body, the NCAA, to levy unprecedented sanctions against the university's football program.