It comes after the 31-year-old put pen to paper on a short-term contract until the end of the season after completing a successful trial period.
Egan, who played alongside Berge at Sheffield United, will wear the number 16 jersey this coming season, a shirt made famous by his fellow Cork man Roy Keane at Manchester United.
“I only had a few numbers to choose from as obviously most of the numbers were taken,” the centre-back explained to Clarets
“But I just told Sander I was taking his number and he was delighted to be fair, so number 16 is my number for this season.
“Roy Keane wore the number as well and he probably made the number famous.
“When you’re picking the number you just pick one, you don’t think too much about it but then it becomes attached to you.”