Abdi means my servant. It is the name of three different men in the Bible. Each one is mentioned only one time.
He was the grandfather of a certain Ethan who was a Levite of the family of Merari (1Chronicles 6:44) and who served in the time of David as one of the singers for the worship of God (1Chronicles 6:31-32).
He was the father of Kish who was a Levite in the days of King Hezekiah (2Chronicles 29:12) and who helped in 727BC [Reese] in the first year of Hezekiahs reign (2Chronicles 29:3) to cleanse the temple (2Chronicles 29:15-16).
He is listed as one of the sons of Elam (Ezra 10:26) who separated from their “strange wives” (that is, they divorced their Gentile wives) in obedience to the command of Ezra (Ezra 10:10-11) in 457BC [Reese].