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28072590 = 23572132113
BaseRepresentation
bin110101100010…
…1101010001110
31221211020100120
41223011222032
524141310330
62441405410
7460420200
oct153055216
957736316
1028072590
1114934397
129499866
135a7b900
143a2a770
1526e7c10
hex1ac5a8e

28072590 has 144 divisors (see below), whose sum is σ = 85617648. Its totient is φ = 5870592.

The previous prime is 28072589. The next prime is 28072621. The reversal of 28072590 is 9527082.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 248374 + ... + 248486.

It is an arithmetic number, because the mean of its divisors is an integer number (594567).

Almost surely, 228072590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28072590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42808824).

28072590 is an abundant number, since it is smaller than the sum of its proper divisors (57545058).

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

28072590 is a wasteful number, since it uses less digits than its factorization.

28072590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 28072590 is about 5298.3572925955. The cubic root of 28072590 is about 303.9210826430.

The spelling of 28072590 in words is "twenty-eight million, seventy-two thousand, five hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 49 65 70 78 91 98 105 113 130 147 169 182 195 210 226 245 273 294 338 339 390 455 490 507 546 565 637 678 735 791 845 910 1014 1130 1183 1274 1365 1469 1470 1582 1690 1695 1911 2366 2373 2535 2730 2938 3185 3390 3549 3822 3955 4407 4746 5070 5537 5915 6370 7098 7345 7910 8281 8814 9555 10283 11074 11830 11865 14690 16562 16611 17745 19097 19110 20566 22035 23730 24843 27685 30849 33222 35490 38194 41405 44070 49686 51415 55370 57291 61698 71981 82810 83055 95485 102830 114582 124215 133679 143962 154245 166110 190970 215943 248430 267358 286455 308490 359905 401037 431886 572910 668395 719810 802074 935753 1079715 1336790 1871506 2005185 2159430 2807259 4010370 4678765 5614518 9357530 14036295 28072590