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pseudoperfect n.  and  Ulam n.

First numbers that belong to both sets:

6, 18, 28, 36, 48, 72, 102, 114, 126, 138, 180, 258, 260, 282, 324, 390, 400, 402, 414, 456, 522, 544, 546, 612, 624, 690, 720, 732, 798, 800, 820, 864, 1020, 1032, 1164, 1230, 1296, 1308, 1338, 1340, 1360, 1404, 1428, 1470, 1472, 1536, 1602, 1660, 1770, 1792, 1812, 1836, 1856, 1900, 1902, 1944, 1968, 2010, 2034, 2090, 2112, 2156, 2178, 2288, 2418, 2420, 2464, 2484, 2550, 2552, 2574, 2584, 2616, 2628, 2660, 2748, 2750, 2814, 2816, 2916, 3090, 3288, 3290, 3390, 3456, 3608, 3630, 3696, 3740, 3762, 3808, 3872, 3918, 3930, 3952, 3960, 4038, 4040, 4260, 4326, 4368, 4392, 4404, 4470, 4536, 4578, 4580, 4600, 4602, 4624, 4644, 4668, 4732, 4734, 4800, 4878, 4900, 4998, 5020, 5032, 5052, 5096, 5118, 5184, 5208, 5250, 5274, 5316, 5382, 5484, 5514, 5516, 5550, 5616, 5768, 5814, 5826, 5856, 5880, 5900, 5946, 6024, 6156, 6244, 6354, 6366, 6420, 6435, 6520, 6552, 6738, 6740, 6784, 6804, 6870, 6894, 6916, 6936, 6980, 7038, 7060, 7104, 7158, 7170, 7278, 7280, 7300, 7302, 7368, 7424, 7434, 7476, 7490, 7500, 7520, 7578, 7600, 7752, 7776, 7818, 7820, 7884, 7950, 7952, 8008, 8016, 8060, 8096, 8128, 8238, 8250, 8272, 8316, 8370, 8424, 8512, 8514, 8754, 8844, 8856, 8876, 8964, 9054, 9120, 9132, 9135, 9162, 9184, 9186, 9196, 9240, 9252, 9555, 9702, 9724, 9726, 9765, 9804, 9834, 9870, 9980, 10002, 10088, 10110, 10112, 10134, 10220, 10242, 10388, 10520, 10540, 10584, 10696, 10716, 10740, 10806, 10848, 10850, 10872, 11016, 11148, 11226, 11256, 11280, 11300, 11346, 11368, 11388, 11454, 11500, 11586, 11600, 11622, 11688, 11776, 11886, 11952, 11964, 11994, 12060, 12162, 12250, 12270, 12272, 12292, 12294, 12336, 12438, 12468, 12504, 12570, 12580, 12600, 12624, 12680, 12705, 12768, 12810, 12876, 12900.

Some larger examples :