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28610765664 = 2531339675779
BaseRepresentation
bin11010101001010101…
…011010001101100000
32201211221012111010120
4122221111122031200
5432043324000124
621051004000240
72032000331655
oct325125321540
981757174116
1028610765664
1111152038788
125665830080
13290c615850
141555b39c2c
15b26badd79
hex6a955a360

28610765664 has 96 divisors (see below), whose sum is σ = 80914821120. Its totient is φ = 8799570432.

The previous prime is 28610765633. The next prime is 28610765719. The reversal of 28610765664 is 46656701682.

It is a tau number, because it is divible by the number of its divisors (96).

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, 4947927 + ... + 4953705.

It is an arithmetic number, because the mean of its divisors is an integer number (842862720).

Almost surely, 228610765664 is an apocalyptic number.

28610765664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28610765664 is an abundant number, since it is smaller than the sum of its proper divisors (52304055456).

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

28610765664 is a wasteful number, since it uses less digits than its factorization.

28610765664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9772 (or 9764 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 28610765664 in words is "twenty-eight billion, six hundred ten million, seven hundred sixty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 3967 5779 7934 11558 11901 15868 17337 23116 23802 31736 34674 46232 47604 51571 63472 69348 75127 92464 95208 103142 126944 138696 150254 154713 184928 190416 206284 225381 277392 300508 309426 380832 412568 450762 554784 601016 618852 825136 901524 1202032 1237704 1650272 1803048 2404064 2475408 3606096 4950816 7212192 22925293 45850586 68775879 91701172 137551758 183402344 275103516 298028809 366804688 550207032 596057618 733609376 894086427 1100414064 1192115236 1788172854 2200828128 2384230472 3576345708 4768460944 7152691416 9536921888 14305382832 28610765664