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28290072492 = 223211247138181
BaseRepresentation
bin11010010110001110…
…000011111110101100
32201000120202120210200
4122112032003332230
5430414224304432
620555110233500
72021024435313
oct322616037654
981016676720
1028290072492
1110aa8010200
125596355890
13288b050c86
1415252db27a
15b08963a7c
hex696383fac

28290072492 has 108 divisors (see below), whose sum is σ = 80276003808. Its totient is φ = 8390289600.

The previous prime is 28290072479. The next prime is 28290072497. The reversal of 28290072492 is 29427009282.

28290072492 is a `hidden beast` number, since 2 + 8 + 2 + 90 + 0 + 72 + 492 = 666.

It is not an unprimeable number, because it can be changed into a prime (28290072497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 135642 + ... + 273822.

Almost surely, 228290072492 is an apocalyptic number.

28290072492 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28290072492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40138001904).

28290072492 is an abundant number, since it is smaller than the sum of its proper divisors (51985931316).

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

28290072492 is a wasteful number, since it uses less digits than its factorization.

28290072492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138260 (or 138244 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 28290072492 in words is "twenty-eight billion, two hundred ninety million, seventy-two thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 66 94 99 121 132 141 188 198 242 282 363 396 423 484 517 564 726 846 1034 1089 1452 1551 1692 2068 2178 3102 4356 4653 5687 6204 9306 11374 17061 18612 22748 34122 51183 68244 102366 138181 204732 276362 414543 552724 829086 1243629 1519991 1658172 2487258 3039982 4559973 4974516 6079964 6494507 9119946 12989014 13679919 16719901 18239892 19483521 25978028 27359838 33439802 38967042 50159703 54719676 58450563 66879604 71439577 77934084 100319406 116901126 142879154 150479109 200638812 214318731 233802252 285758308 300958218 428637462 601916436 642956193 785835347 857274924 1285912386 1571670694 2357506041 2571824772 3143341388 4715012082 7072518123 9430024164 14145036246 28290072492