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28697661312 = 2732925110267
BaseRepresentation
bin11010101110100000…
…111000111110000000
32202001222201020112220
4122232200320332000
5432233100130222
621103350251040
72034104045025
oct325640707600
982058636486
1028697661312
1111197099771
12568a956a80
13292461b7a8
1415634b954c
15b2e625b5c
hex6ae838f80

28697661312 has 128 divisors (see below), whose sum is σ = 79178601600. Its totient is φ = 9198336000.

The previous prime is 28697661227. The next prime is 28697661367. The reversal of 28697661312 is 21316679682.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×286976613122 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2790003 + ... + 2800269.

It is an arithmetic number, because the mean of its divisors is an integer number (618582825).

Almost surely, 228697661312 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 28697661312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39589300800).

28697661312 is an abundant number, since it is smaller than the sum of its proper divisors (50480940288).

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

28697661312 is a wasteful number, since it uses less digits than its factorization.

28697661312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10564 (or 10552 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The spelling of 28697661312 in words is "twenty-eight billion, six hundred ninety-seven million, six hundred sixty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 251 348 384 464 502 696 753 928 1004 1392 1506 1856 2008 2784 3012 3712 4016 5568 6024 7279 8032 10267 11136 12048 14558 16064 20534 21837 24096 29116 30801 32128 41068 43674 48192 58232 61602 82136 87348 96384 116464 123204 164272 174696 232928 246408 297743 328544 349392 465856 492816 595486 657088 698784 893229 931712 985632 1190972 1314176 1397568 1786458 1971264 2381944 2577017 2795136 3572916 3942528 4763888 5154034 7145832 7731051 9527776 10308068 14291664 15462102 19055552 20616136 28583328 30924204 38111104 41232272 57166656 61848408 74733493 82464544 114333312 123696816 149466986 164929088 224200479 247393632 298933972 329858176 448400958 494787264 597867944 896801916 989574528 1195735888 1793603832 2391471776 3587207664 4782943552 7174415328 9565887104 14348830656 28697661312