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428901336 = 2332371311229
BaseRepresentation
bin11001100100001…
…000001111011000
31002220001110000200
4121210020033120
51334244320321
6110320502200
713425413133
oct3144101730
91086043020
10428901336
11200115a16
12bb77a960
136ab20496
1440d6921a
15279c1d26
hex199083d8

428901336 has 96 divisors (see below), whose sum is σ = 1203087600. Its totient is φ = 137928960.

The previous prime is 428901323. The next prime is 428901397. The reversal of 428901336 is 633109824.

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

It is a self number, because there is not a number n which added to its sum of digits gives 428901336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348370 + ... + 349598.

Almost surely, 2428901336 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 428901336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601543800).

428901336 is an abundant number, since it is smaller than the sum of its proper divisors (774186264).

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

428901336 is a wasteful number, since it uses less digits than its factorization.

428901336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 428901336 is about 20709.9332688447. The cubic root of 428901336 is about 754.1408504022.

The spelling of 428901336 in words is "four hundred twenty-eight million, nine hundred one thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 131 148 222 262 296 333 393 444 524 666 786 888 1048 1179 1229 1332 1572 2358 2458 2664 3144 3687 4716 4847 4916 7374 9432 9694 9832 11061 14541 14748 19388 22122 29082 29496 38776 43623 44244 45473 58164 87246 88488 90946 116328 136419 160999 174492 181892 272838 321998 348984 363784 409257 482997 545676 643996 818514 965994 1091352 1287992 1448991 1637028 1931988 2897982 3274056 3863976 5795964 5956963 11591928 11913926 17870889 23827852 35741778 47655704 53612667 71483556 107225334 142967112 214450668 428901336