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pernicious n.  and  upside-down n.

First numbers that belong to both sets:

5, 19, 28, 37, 55, 73, 82, 91, 258, 357, 555, 654, 852, 1199, 1739, 2198, 2288, 2378, 2468, 2648, 2828, 2918, 3467, 3737, 4286, 4646, 4736, 4826, 5465, 6194, 6284, 6374, 6554, 6734, 6914, 8282, 8372, 8462, 8552, 8642, 8732, 8822, 8912, 9371, 9641, 9731, 12589, 13579, 16549, 17539, 18529, 22588, 23578, 24568, 31597, 32587, 34567, 38527, 43576, 49516, 55555, 65554, 66544, 74563, 75553, 77533, 82582, 84562, 85552, 86542, 97531, 98521, 111999, 119199, 127389, 131979, 133779, 137379, 139179, 141969, 145569, 147369, 157359, 164649, 166449, 171939, 175539, 177339, 178239, 179139, 188229, 191919, 194619, 212898, 229188, 232878, 236478, 244668, 252858, 256458, 259158, 263748, 265548, 266448, 275538, 276438, 281928, 282828, 286428, 292818, 293718, 312897, 318297, 319197, 322887, 324687, 325587, 326487, 331977, 335577, 341967, 342867, 343767, 347367, 349167, 355557, 357357, 359157, 361947, 362847, 366447, 368247, 374637, 376437, 377337, 379137, 381927, 382827, 384627, 385527, 386427, 392817, 397317, 413796, 415596, 417396, 419196, 424686, 428286, 429186, 432876, 436476, 437376, 441966, 443766, 444666, 449166, 451956, 452856, 457356, 459156, 475536, 492816, 513795, 517395, 521985, 525585, 532875, 534675, 536475, 541965, 543765, 557355, 559155, 563745, 565545, 567345, 568245, 569145, 571935, 572835, 576435, 578235, 584625, 586425, 589125, 591915, 592815, 617394, 619194, 623784, 624684, 634674, 635574, 636474, 637374, 641964, 651954, 653754, 655554, 663744, 675534, 677334, 683724, 685524, 688224, 695514, 698214, 699114, 712893, 715593, 716493, 718293, 724683, 726483, 727383, 732873, 734673, 735573, 739173, 742863, 743763, 744663, 748263, 749163, 751953, 752853, 756453, 757353, 759153, 762843, 765543, 766443, 768243, 771933, 772833, 775533, 777333, 781923, 789123, 794613, 797313, 812892, 816492, 818292, 821982, 825582, 828282, 829182, 833772, 838272, 841962, 845562, 846462, 856452, 857352, 859152, 862842, 871932, 872832, 876432, 914691, 921981, 922881, 933771, 938271, 946461, 949161, 951951, 957351, 958251, 965541, 966441, 967341, 973731, 976431, 977331, 979131, 981921, 986421.

Some larger examples :