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28564032 = 263753401
BaseRepresentation
bin110110011110…
…1101001000000
31222202012111010
41230331221000
524303022112
62500120520
7464535030
oct154755100
958665433
1028564032
111513a642
129696140
135bc14c3
143b178c0
15279363c
hex1b3da40

28564032 has 112 divisors (see below), whose sum is σ = 88221312. Its totient is φ = 7987200.

The previous prime is 28564031. The next prime is 28564057. The reversal of 28564032 is 23046582.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (28564031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71032 + ... + 71432.

Almost surely, 228564032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28564032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44110656).

28564032 is an abundant number, since it is smaller than the sum of its proper divisors (59657280).

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

28564032 is a wasteful number, since it uses less digits than its factorization.

28564032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 28564032 is about 5344.5329075608. The cubic root of 28564032 is about 305.6843256600.

The spelling of 28564032 in words is "twenty-eight million, five hundred sixty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 64 84 96 106 112 159 168 192 212 224 318 336 371 401 424 448 636 672 742 802 848 1113 1203 1272 1344 1484 1604 1696 2226 2406 2544 2807 2968 3208 3392 4452 4812 5088 5614 5936 6416 8421 8904 9624 10176 11228 11872 12832 16842 17808 19248 21253 22456 23744 25664 33684 35616 38496 42506 44912 63759 67368 71232 76992 85012 89824 127518 134736 148771 170024 179648 255036 269472 297542 340048 446313 510072 538944 595084 680096 892626 1020144 1190168 1360192 1785252 2040288 2380336 3570504 4080576 4760672 7141008 9521344 14282016 28564032