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28545575256 = 23331112499619
BaseRepresentation
bin11010100101011100…
…101110100101011000
32201200101112110201000
4122211130232211120
5431430131402011
621040314425000
72030246246322
oct324534564530
981611473630
1028545575256
1111119262210
125647a32160
1328cbc6c243
14154b20a612
15b210d3356
hex6a572e958

28545575256 has 128 divisors (see below), whose sum is σ = 86580000000. Its totient is φ = 8642350080.

The previous prime is 28545575213. The next prime is 28545575299. The reversal of 28545575256 is 65257554582.

28545575256 is a `hidden beast` number, since 2 + 8 + 5 + 45 + 575 + 25 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (28545575213) and next prime (28545575299).

It is a super-3 number, since 3×285455752563 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2962815 + ... + 2972433.

It is an arithmetic number, because the mean of its divisors is an integer number (676406250).

Almost surely, 228545575256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28545575256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43290000000).

28545575256 is an abundant number, since it is smaller than the sum of its proper divisors (58034424744).

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

28545575256 is a wasteful number, since it uses less digits than its factorization.

28545575256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10894 (or 10884 counting only the distinct ones).

The product of its digits is 16800000, while the sum is 54.

The spelling of 28545575256 in words is "twenty-eight billion, five hundred forty-five million, five hundred seventy-five thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 1249 2376 2498 3747 4996 7494 9619 9992 11241 13739 14988 19238 22482 27478 28857 29976 33723 38476 41217 44964 54956 57714 67446 76952 82434 86571 89928 105809 109912 115428 123651 134892 164868 173142 211618 230856 247302 259713 269784 317427 329736 346284 370953 423236 494604 519426 634854 692568 741906 846472 952281 989208 1038852 1269708 1483812 1904562 2077704 2539416 2856843 2967624 3809124 5713686 7618248 11427372 12014131 22854744 24028262 36042393 48056524 72084786 96113048 108127179 132155441 144169572 216254358 264310882 288339144 324381537 396466323 432508716 528621764 648763074 792932646 865017432 1057243528 1189398969 1297526148 1585865292 2378797938 2595052296 3171730584 3568196907 4757595876 7136393814 9515191752 14272787628 28545575256