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628913568 = 25337593001
BaseRepresentation
bin100101011111000…
…111010110100000
31121211102010020010
4211133013112200
52242000213233
6142223444520
721404451153
oct4537072640
91554363203
10628913568
112a3007088
12156756740
13a03b020a
145d751c9a
153a32eb63
hex257c75a0

628913568 has 96 divisors (see below), whose sum is σ = 1724829120. Its totient is φ = 200448000.

The previous prime is 628913543. The next prime is 628913581. The reversal of 628913568 is 865319826.

It is a happy number.

628913568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208068 + ... + 211068.

It is an arithmetic number, because the mean of its divisors is an integer number (17966970).

Almost surely, 2628913568 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 628913568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862414560).

628913568 is an abundant number, since it is smaller than the sum of its proper divisors (1095915552).

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

628913568 is a wasteful number, since it uses less digits than its factorization.

628913568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3110 (or 3102 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The square root of 628913568 is about 25078.1492140070. The cubic root of 628913568 is about 856.7688233453.

The spelling of 628913568 in words is "six hundred twenty-eight million, nine hundred thirteen thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 59 74 96 111 118 148 177 222 236 296 354 444 472 592 708 888 944 1184 1416 1776 1888 2183 2832 3001 3552 4366 5664 6002 6549 8732 9003 12004 13098 17464 18006 24008 26196 34928 36012 48016 52392 69856 72024 96032 104784 111037 144048 177059 209568 222074 288096 333111 354118 444148 531177 666222 708236 888296 1062354 1332444 1416472 1776592 2124708 2664888 2832944 3553184 4249416 5329776 5665888 6551183 8498832 10659552 13102366 16997664 19653549 26204732 39307098 52409464 78614196 104818928 157228392 209637856 314456784 628913568