 His jersey number (4) was the first Panathinaikos shirt number ever to be retired by the club.It was hung at the beginning of the 2009–10 season, along with the trophy banners above the court of Nikos Galis Olympic Indoor Hall, after his retirement following the 2008–09 season.Alvertis was also a regular member of the senior Greek national basketball team until 2004, and with the Greek national team, he once made it to the FIBA World Championship semifinal in 1998, and twice made it to the EuroBasket semifinal (1995, 1997).