Jamieson, Fausset and Brown on 2 Samuel 12:28

28. encamp against the city, and take it--It has always been characteristic of Oriental despots to monopolize military honors; and as the ancient world knew nothing of the modern refinement of kings gaining victories by their generals, so Joab sent for David to command the final assault in person. A large force was levied for the purpose. David without much difficulty captured the royal city and obtained possession of its immense wealth.

lest I take the city, and it be called after my name--The circumstance of a city receiving a new name after some great person, as Alexandria, Constantinople, Hyderabad, is of frequent occurrence in the ancient and modern history of the East.