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28630560 = 253578521
BaseRepresentation
bin110110100110…
…1111000100000
31222212120202010
41231031320200
524312134220
62501352520
7465233010
oct155157040
958776663
1028630560
1115185622
129708740
135c1587a
143b33c40
1527a81e0
hex1b4de20

28630560 has 96 divisors (see below), whose sum is σ = 103082112. Its totient is φ = 6543360.

The previous prime is 28630543. The next prime is 28630573. The reversal of 28630560 is 6503682.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 901 + ... + 7620.

It is an arithmetic number, because the mean of its divisors is an integer number (1073772).

Almost surely, 228630560 is an apocalyptic number.

28630560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28630560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51541056).

28630560 is an abundant number, since it is smaller than the sum of its proper divisors (74451552).

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

28630560 is a wasteful number, since it uses less digits than its factorization.

28630560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8546 (or 8538 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 28630560 is about 5350.7532180059. The cubic root of 28630560 is about 305.9214630349.

The spelling of 28630560 in words is "twenty-eight million, six hundred thirty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 8521 17042 25563 34084 42605 51126 59647 68168 85210 102252 119294 127815 136336 170420 178941 204504 238588 255630 272672 298235 340840 357882 409008 477176 511260 596470 681680 715764 818016 894705 954352 1022520 1192940 1363360 1431528 1789410 1908704 2045040 2385880 2863056 3578820 4090080 4771760 5726112 7157640 9543520 14315280 28630560