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428621872 = 24731413011
BaseRepresentation
bin11001100011000…
…100000000110000
31002212112020200011
4121203010000300
51334211344442
6110310504304
713423140310
oct3143040060
91085466604
10428621872
111aaa44a58
12bb665094
136aa53213
1440cd5440
1527969117
hex198c4030

428621872 has 80 divisors (see below), whose sum is σ = 1003935744. Its totient is φ = 173376000.

The previous prime is 428621863. The next prime is 428621873. The reversal of 428621872 is 278126824.

It is not an unprimeable number, because it can be changed into a prime (428621873) 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, 140847 + ... + 143857.

Almost surely, 2428621872 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 428621872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501967872).

428621872 is an abundant number, since it is smaller than the sum of its proper divisors (575313872).

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

428621872 is a wasteful number, since it uses less digits than its factorization.

428621872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3098 (or 3092 counting only the distinct ones).

The product of its digits is 86016, while the sum is 40.

The square root of 428621872 is about 20703.1850689695. The cubic root of 428621872 is about 753.9770201750.

The spelling of 428621872 in words is "four hundred twenty-eight million, six hundred twenty-one thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 31 41 56 62 82 112 124 164 217 248 287 328 434 496 574 656 868 1148 1271 1736 2296 2542 3011 3472 4592 5084 6022 8897 10168 12044 17794 20336 21077 24088 35588 42154 48176 71176 84308 93341 123451 142352 168616 186682 246902 337232 373364 493804 653387 746728 864157 987608 1306774 1493456 1728314 1975216 2613548 3456628 3826981 5227096 6913256 7653962 10454192 13826512 15307924 26788867 30615848 53577734 61231696 107155468 214310936 428621872