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28655412464 = 24723110311447
BaseRepresentation
bin11010101011111111…
…101110010011110000
32201222001012210000202
4122223333232103300
5432141241144324
621055240534332
72033051662400
oct325377562360
981861183022
1028655412464
1111175262568
1256787813a8
132918948483
14155ba3c800
15b2aa7c8ae
hex6abfee4f0

28655412464 has 120 divisors (see below), whose sum is σ = 67320834048. Its totient is φ = 11768319360.

The previous prime is 28655412421. The next prime is 28655412497. The reversal of 28655412464 is 46421455682.

It is a super-2 number, since 2×286554124642 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2497589 + ... + 2509035.

Almost surely, 228655412464 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 28655412464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33660417024).

28655412464 is an abundant number, since it is smaller than the sum of its proper divisors (38665421584).

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

28655412464 is a wasteful number, since it uses less digits than its factorization.

28655412464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11603 (or 11590 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 47.

The spelling of 28655412464 in words is "twenty-eight billion, six hundred fifty-five million, four hundred twelve thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 31 49 56 62 98 103 112 124 196 206 217 248 392 412 434 496 721 784 824 868 1442 1519 1648 1736 2884 3038 3193 3472 5047 5768 6076 6386 10094 11447 11536 12152 12772 20188 22351 22894 24304 25544 40376 44702 45788 51088 80129 80752 89404 91576 156457 160258 178808 183152 312914 320516 354857 357616 560903 625828 641032 709714 1121806 1179041 1251656 1282064 1419428 2243612 2358082 2483999 2503312 2838856 4487224 4716164 4967998 5677712 8253287 8974448 9432328 9935996 16506574 17387993 18864656 19871992 33013148 34775986 36550271 39743984 57773009 66026296 69551972 73100542 115546018 132052592 139103944 146201084 231092036 255851897 278207888 292402168 462184072 511703794 584804336 924368144 1023407588 1790963279 2046815176 3581926558 4093630352 7163853116 14327706232 28655412464