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428655672 = 23338112447
BaseRepresentation
bin11001100011001…
…100010000111000
31002212120222001000
4121203030100320
51334213440142
6110311325000
713423340664
oct3143142070
91085528030
10428655672
111aaa68395
12bb680760
136aa65713
1440d038a4
152797414c
hex198cc438

428655672 has 64 divisors (see below), whose sum is σ = 1192665600. Its totient is φ = 142650720.

The previous prime is 428655593. The next prime is 428655673. The reversal of 428655672 is 276556824.

428655672 is a `hidden beast` number, since 4 + 2 + 86 + 5 + 567 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428655673) 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, 173953 + ... + 176399.

It is an arithmetic number, because the mean of its divisors is an integer number (18635400).

Almost surely, 2428655672 is an apocalyptic number.

It is an amenable number.

428655672 is an abundant number, since it is smaller than the sum of its proper divisors (764009928).

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

428655672 is a wasteful number, since it uses less digits than its factorization.

428655672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3273 (or 3263 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 428655672 is about 20704.0013523956. The cubic root of 428655672 is about 753.9968385395.

It can be divided in two parts, 428 and 655672, that added together give a square (656100 = 8102).

The spelling of 428655672 in words is "four hundred twenty-eight million, six hundred fifty-five thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 811 1622 2433 2447 3244 4866 4894 6488 7299 7341 9732 9788 14598 14682 19464 19576 21897 22023 29196 29364 43794 44046 58392 58728 66069 87588 88092 132138 175176 176184 264276 528552 1984517 3969034 5953551 7938068 11907102 15876136 17860653 23814204 35721306 47628408 53581959 71442612 107163918 142885224 214327836 428655672