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28760490 = 232511219139
BaseRepresentation
bin110110110110…
…1100110101010
32000010011222100
41231231212222
524330313430
62504234230
7466313553
oct155554652
960104870
1028760490
1115264200
12976b976
135c5ca55
143b6932a
1527d1960
hex1b6d9aa

28760490 has 144 divisors (see below), whose sum is σ = 87141600. Its totient is φ = 6557760.

The previous prime is 28760461. The next prime is 28760519. The reversal of 28760490 is 9406782.

It is an interprime number because it is at equal distance from previous prime (28760461) and next prime (28760519).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 206841 + ... + 206979.

It is an arithmetic number, because the mean of its divisors is an integer number (605150).

Almost surely, 228760490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28760490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43570800).

28760490 is an abundant number, since it is smaller than the sum of its proper divisors (58381110).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28760490 is a wasteful number, since it uses less digits than its factorization.

28760490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 28760490 is about 5362.8807557133. The cubic root of 28760490 is about 306.3835380426.

The spelling of 28760490 in words is "twenty-eight million, seven hundred sixty thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 19 22 30 33 38 45 55 57 66 90 95 99 110 114 121 139 165 171 190 198 209 242 278 285 330 342 363 417 418 495 570 605 627 695 726 834 855 990 1045 1089 1210 1251 1254 1390 1529 1710 1815 1881 2085 2090 2178 2299 2502 2641 3058 3135 3630 3762 4170 4587 4598 5282 5445 6255 6270 6897 7645 7923 9174 9405 10890 11495 12510 13205 13761 13794 15290 15846 16819 18810 20691 22935 22990 23769 26410 27522 29051 33638 34485 39615 41382 45870 47538 50457 58102 68805 68970 79230 84095 87153 100914 103455 118845 137610 145255 151371 168190 174306 206910 237690 252285 261459 290510 302742 319561 435765 504570 522918 639122 756855 871530 958683 1307295 1513710 1597805 1917366 2614590 2876049 3195610 4793415 5752098 9586830 14380245 28760490