Recent developments in mass spectrometry-based single-cell proteomics (SCP) have resulted in dramatically improved sensitivity, yet the relatively low measurement throughput remains a limitation. Isobaric and isotopic labeling methods have been separately applied to SCP to increase throughput through multiplexing. Here we combined both forms of labeling to achieve multiplicative scaling for higher throughput. Two-plex stable isotope labeling of amino acids in cell culture and isobaric Tandem Mass Tag labeling enabled up to 32 single cells to be analyzed in a single LC-MS analysis, in addition to reference and negative control channels. A custom nested nanowell chip was used for nanoliter sample processing to minimize sample losses. Using a 145-min total LC-MS cycle time, ~280 single cells were analyzed per day, which could be increased to ~700 samples per day with a high-duty-cycle multicolumn LC system producing the same active gradient. The labeling efficiency and achievable proteome coverage were characterized for multiple analysis conditions. Despite some decrease in coverage, this method readily differentiated four different cell types and thus proves suitable for, e.g., rapid cell typing.