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428563008 = 2633376703
BaseRepresentation
bin11001100010110…
…101101001000000
31002212102020221000
4121202311221000
51334203004013
6110305332000
713422503556
oct3142655100
91085366830
10428563008
111aaa04805
12bb637000
136aa324a3
1440cbbbd6
1527956973
hex198b5a40

428563008 has 112 divisors (see below), whose sum is σ = 1294140160. Its totient is φ = 138972672.

The previous prime is 428563001. The next prime is 428563019. The reversal of 428563008 is 800365824.

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

It is not an unprimeable number, because it can be changed into a prime (428563001) 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, 60585 + ... + 67287.

Almost surely, 2428563008 is an apocalyptic number.

428563008 is a gapful number since it is divisible by the number (48) 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 428563008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647070080).

428563008 is an abundant number, since it is smaller than the sum of its proper divisors (865577152).

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

428563008 is a wasteful number, since it uses less digits than its factorization.

428563008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6761 (or 6745 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 428563008 is about 20701.7634031500. The cubic root of 428563008 is about 753.9425032437.

The spelling of 428563008 in words is "four hundred twenty-eight million, five hundred sixty-three thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 144 148 192 216 222 288 296 333 432 444 576 592 666 864 888 999 1184 1332 1728 1776 1998 2368 2664 3552 3996 5328 6703 7104 7992 10656 13406 15984 20109 21312 26812 31968 40218 53624 60327 63936 80436 107248 120654 160872 180981 214496 241308 248011 321744 361962 428992 482616 496022 643488 723924 744033 965232 992044 1286976 1447848 1488066 1930464 1984088 2232099 2895696 2976132 3860928 3968176 4464198 5791392 5952264 6696297 7936352 8928396 11582784 11904528 13392594 15872704 17856792 23809056 26785188 35713584 47618112 53570376 71427168 107140752 142854336 214281504 428563008