Open Shortest Path First (OSPF) is the most appropriate dynamic routing protocol for an enterprise network with numerous routers that requires fast convergence and efficient bandwidth use. OSPF is an interior gateway protocol designed for large and complex networks with a hierarchical structure. It quickly converges, meaning it adapts to network changes rapidly. Because OSPF is a link-state routing protocol, each router has a view of the entire network topology, which allows for more efficient routing decisions as the network grows, emphasizing scalability.