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428878656 = 26321514931
BaseRepresentation
bin11001100100000…
…010101101000000
31002220000021220200
4121210002231000
51334243104111
6110320205200
713425260043
oct3144025500
91086007820
10428878656
112000aa978
12bb769800
136ab1306b
1440d60c5a
15279ba256
hex19902b40

428878656 has 84 divisors (see below), whose sum is σ = 1237695264. Its totient is φ = 141984000.

The previous prime is 428878649. The next prime is 428878661. The reversal of 428878656 is 656878824.

It is a congruent number.

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, 84511 + ... + 89441.

Almost surely, 2428878656 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 428878656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618847632).

428878656 is an abundant number, since it is smaller than the sum of its proper divisors (808816608).

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

428878656 is a wasteful number, since it uses less digits than its factorization.

428878656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5100 (or 5087 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The square root of 428878656 is about 20709.3856982770. The cubic root of 428878656 is about 754.1275573559.

It can be divided in two parts, 4288 and 78656, that added together give a square (82944 = 2882).

The spelling of 428878656 in words is "four hundred twenty-eight million, eight hundred seventy-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 151 192 288 302 453 576 604 906 1208 1359 1812 2416 2718 3624 4832 4931 5436 7248 9664 9862 10872 14496 14793 19724 21744 28992 29586 39448 43488 44379 59172 78896 86976 88758 118344 157792 177516 236688 315584 355032 473376 710064 744581 946752 1420128 1489162 2233743 2840256 2978324 4467486 5956648 6701229 8934972 11913296 13402458 17869944 23826592 26804916 35739888 47653184 53609832 71479776 107219664 142959552 214439328 428878656