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28965316864 = 281129672
BaseRepresentation
bin11010111110011101…
…111010100100000000
32202202122100112221111
4122332131322210000
5433310110114424
621150111133104
72043534062641
oct327635724400
982678315844
1028965316864
1111314191300
125744514194
132967c03463
14158ac6d6c8
15b47d96194
hex6be77a900

28965316864 has 81 divisors (see below), whose sum is σ = 63617241891. Its totient is φ = 13152437760.

The previous prime is 28965316819. The next prime is 28965316867. The reversal of 28965316864 is 46861356982.

The square root of 28965316864 is 170192.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 28965316799 and 28965316808.

It is not an unprimeable number, because it can be changed into a prime (28965316867) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29953309 + ... + 29954275.

Almost surely, 228965316864 is an apocalyptic number.

28965316864 is the 170192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28965316864

28965316864 is an abundant number, since it is smaller than the sum of its proper divisors (34651925027).

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

28965316864 is an frugal number, since it uses more digits than its factorization.

28965316864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1972 (or 980 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 58.

The spelling of 28965316864 in words is "twenty-eight billion, nine hundred sixty-five million, three hundred sixteen thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 704 967 968 1408 1934 1936 2816 3868 3872 7736 7744 10637 15472 15488 21274 30944 30976 42548 61888 85096 117007 123776 170192 234014 247552 340384 468028 680768 935089 936056 1361536 1870178 1872112 2723072 3740356 3744224 7480712 7488448 10285979 14961424 14976896 20571958 29922848 29953792 41143916 59845696 82287832 113145769 119691392 164575664 226291538 239382784 329151328 452583076 658302656 905166152 1316605312 1810332304 2633210624 3620664608 7241329216 14482658432 28965316864