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28820759132 = 221122337167419
BaseRepresentation
bin11010110101110110…
…011110001001011100
32202101120100021000102
4122311312132021130
5433011103243012
621123504520232
72040130260554
oct326566361134
982346307012
1028820759132
111124a626a00
125704020078
132943c8b739
1415759a0164
15b3a33e2c2
hex6b5d9e25c

28820759132 has 144 divisors (see below), whose sum is σ = 59910520320. Its totient is φ = 12090165120.

The previous prime is 28820759131. The next prime is 28820759147. The reversal of 28820759132 is 23195702882.

It is a super-2 number, since 2×288207591322 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28820759131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68784419 + ... + 68784837.

It is an arithmetic number, because the mean of its divisors is an integer number (416045280).

Almost surely, 228820759132 is an apocalyptic number.

28820759132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

28820759132 is an abundant number, since it is smaller than the sum of its proper divisors (31089761188).

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

28820759132 is a wasteful number, since it uses less digits than its factorization.

28820759132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 47.

The spelling of 28820759132 in words is "twenty-eight billion, eight hundred twenty million, seven hundred fifty-nine thousand, one hundred thirty-two".

Divisors: 1 2 4 11 22 23 37 44 46 74 92 121 148 167 242 253 334 407 419 484 506 668 814 838 851 1012 1628 1676 1702 1837 2783 3404 3674 3841 4477 4609 5566 6179 7348 7682 8954 9218 9361 9637 11132 12358 15364 15503 17908 18436 18722 19274 20207 24716 31006 37444 38548 40414 42251 50699 62012 67969 69973 80828 84502 101398 102971 106007 135938 139946 142117 169004 170533 202796 205942 212014 271876 279892 284234 341066 356569 411884 424028 464761 568468 682132 713138 747659 769703 929522 1166077 1426276 1495318 1539406 1563287 1609379 1859044 1875863 2332154 2589001 2990636 3078812 3126574 3218758 3751726 3922259 4664308 5178002 6253148 6437516 7503452 7844518 8466733 10356004 15689036 16933466 17196157 17703169 28479011 33866932 34392314 35406338 43144849 56958022 59547023 68784628 70812676 86289698 113916044 119094046 172579396 194734859 238188092 313269121 389469718 626538242 655017253 778939436 1253076484 1310034506 2620069012 7205189783 14410379566 28820759132