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28637640 = 2332579549
BaseRepresentation
bin110110100111…
…1100111001000
31222212221110100
41231033213020
524312401030
62501445400
7465262443
oct155174710
958787410
1028637640
111518a979
129710860
135c18b65
143b3665a
1527aa360
hex1b4f9c8

28637640 has 48 divisors (see below), whose sum is σ = 93073500. Its totient is φ = 7636608.

The previous prime is 28637629. The next prime is 28637657. The reversal of 28637640 is 4673682.

28637640 is a `hidden beast` number, since 2 + 8 + 6 + 3 + 7 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26071236 + 2566404 = 5106^2 + 1602^2 .

It is a super-2 number, since 2×286376402 = 1640228849539200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 28637595 and 28637604.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39415 + ... + 40134.

Almost surely, 228637640 is an apocalyptic number.

28637640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28637640 is an abundant number, since it is smaller than the sum of its proper divisors (64435860).

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

28637640 is a wasteful number, since it uses less digits than its factorization.

28637640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79566 (or 79559 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 28637640 is about 5351.4147662090. The cubic root of 28637640 is about 305.9466778805.

The spelling of 28637640 in words is "twenty-eight million, six hundred thirty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 79549 159098 238647 318196 397745 477294 636392 715941 795490 954588 1193235 1431882 1590980 1909176 2386470 2863764 3181960 3579705 4772940 5727528 7159410 9545880 14318820 28637640