Memory devices, systems including memory devices, and methods of operating memory devices in which multiple counters are provided to permit memory refresh commands greater freedom in targeting subsets of the memory device for data refresh operations. In one embodiment, a memory device is provided, comprising a plurality of memory banks, and circuitry configured to (i) store a plurality of values, each of the plurality of values corresponding to one of the plurality of memory banks; (ii) refresh first data stored in a first one of the plurality of memory banks; and (iii) update a first one of the plurality of values corresponding to the first one of the plurality of memory banks based at least in part on refreshing the first data.