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28600900 = 2252286009
BaseRepresentation
bin110110100011…
…0101001000100
31222211002001121
41231012221010
524310212100
62501003324
7465050356
oct155065104
958732047
1028600900
1115165309
1296b3544
135c05213
143b270d6
15279e51a
hex1b46a44

28600900 has 18 divisors (see below), whose sum is σ = 62064170. Its totient is φ = 11440320.

The previous prime is 28600883. The next prime is 28600967. The reversal of 28600900 is 900682.

It can be written as a sum of positive squares in 3 ways, for example, as 6190144 + 22410756 = 2488^2 + 4734^2 .

It is a super-2 number, since 2×286009002 = 1636022961620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 142905 + ... + 143104.

Almost surely, 228600900 is an apocalyptic number.

28600900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28600900 is an abundant number, since it is smaller than the sum of its proper divisors (33463270).

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

28600900 is a wasteful number, since it uses less digits than its factorization.

28600900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286023 (or 286016 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 28600900 is about 5347.9809274155. The cubic root of 28600900 is about 305.8157861441.

The spelling of 28600900 in words is "twenty-eight million, six hundred thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 286009 572018 1144036 1430045 2860090 5720180 7150225 14300450 28600900