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428318632 = 23729972719
BaseRepresentation
bin11001100001111…
…001111110101000
31002211221211201001
4121201321332220
51334122144012
6110300204344
713420435240
oct3141717650
91084854631
10428318632
111aa858145
12bb5396b4
136a9781a1
1440c56b20
1527909357
hex19879fa8

428318632 has 64 divisors (see below), whose sum is σ = 959616000. Its totient is φ = 175343616.

The previous prime is 428318609. The next prime is 428318633. The reversal of 428318632 is 236813824.

It is a junction number, because it is equal to n+sod(n) for n = 428318591 and 428318600.

It is not an unprimeable number, because it can be changed into a prime (428318633) 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, 156169 + ... + 158887.

It is an arithmetic number, because the mean of its divisors is an integer number (14994000).

Almost surely, 2428318632 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 428318632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479808000).

428318632 is an abundant number, since it is smaller than the sum of its proper divisors (531297368).

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

428318632 is a wasteful number, since it uses less digits than its factorization.

428318632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2858 (or 2854 counting only the distinct ones).

The product of its digits is 55296, while the sum is 37.

The square root of 428318632 is about 20695.8602623810. The cubic root of 428318632 is about 753.7991711618.

The spelling of 428318632 in words is "four hundred twenty-eight million, three hundred eighteen thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 29 56 58 97 116 194 203 232 388 406 679 776 812 1358 1624 2716 2719 2813 5432 5438 5626 10876 11252 19033 19691 21752 22504 38066 39382 76132 78764 78851 152264 157528 157702 263743 315404 527486 551957 630808 1054972 1103914 1846201 2109944 2207828 3692402 4415656 7384804 7648547 14769608 15297094 30594188 53539829 61188376 107079658 214159316 428318632