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28699748100 = 22325256472
BaseRepresentation
bin11010101110101000…
…110110011100000100
32202002010122021002100
4122232220312130010
5432234113414400
621103503112100
72034130555662
oct325650663404
982063567070
1028699748100
1111198294591
12568b5a2630
132924b9c58a
14156389dc32
15b2e8d9100
hex6aea36704

28699748100 has 81 divisors (see below), whose sum is σ = 89973698997. Its totient is φ = 7651910880.

The previous prime is 28699748087. The next prime is 28699748171. The reversal of 28699748100 is 184799682.

The square root of 28699748100 is 169410.

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

It can be written as a sum of positive squares in only one way, i.e., 10331909316 + 18367838784 = 101646^2 + 135528^2 .

It is a super-2 number, since 2×286997481002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5079477 + ... + 5085123.

Almost surely, 228699748100 is an apocalyptic number.

28699748100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28699748100 is the 169410-th square number.

It is an amenable number.

28699748100 is an abundant number, since it is smaller than the sum of its proper divisors (61273950897).

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

28699748100 is an equidigital number, since it uses as much as digits as its factorization.

28699748100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11314 (or 5657 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 28699748100 in words is "twenty-eight billion, six hundred ninety-nine million, seven hundred forty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 5647 11294 16941 22588 28235 33882 50823 56470 67764 84705 101646 112940 141175 169410 203292 254115 282350 338820 423525 508230 564700 847050 1016460 1270575 1694100 2541150 5082300 31888609 63777218 95665827 127554436 159443045 191331654 286997481 318886090 382663308 478329135 573994962 637772180 797215225 956658270 1147989924 1434987405 1594430450 1913316540 2391645675 2869974810 3188860900 4783291350 5739949620 7174937025 9566582700 14349874050 28699748100