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28250910900 = 22325231389901
BaseRepresentation
bin11010010011111000…
…101011000010110100
32200220212001222012100
4122103320223002310
5430324213122100
620551151022100
72020040531502
oct322370530264
980825058170
1028250910900
1110a879a2553
12558520a930
132882bbbc34
141520025672
15b052ca400
hex693e2b0b4

28250910900 has 54 divisors (see below), whose sum is σ = 88550913542. Its totient is φ = 7533576000.

The previous prime is 28250910851. The next prime is 28250910949. The reversal of 28250910900 is 901905282.

It is an interprime number because it is at equal distance from previous prime (28250910851) and next prime (28250910949).

It can be written as a sum of positive squares in 3 ways, for example, as 4478821776 + 23772089124 = 66924^2 + 154182^2 .

It is a super-2 number, since 2×282509109002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 15694051 + ... + 15695850.

Almost surely, 228250910900 is an apocalyptic number.

28250910900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28250910900 is an abundant number, since it is smaller than the sum of its proper divisors (60300002642).

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

28250910900 is a wasteful number, since it uses less digits than its factorization.

28250910900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31389921 (or 31389911 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 28250910900 in words is "twenty-eight billion, two hundred fifty million, nine hundred ten thousand, nine 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 31389901 62779802 94169703 125559604 156949505 188339406 282509109 313899010 376678812 470848515 565018218 627798020 784747525 941697030 1130036436 1412545545 1569495050 1883394060 2354242575 2825091090 3138990100 4708485150 5650182180 7062727725 9416970300 14125455450 28250910900