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428555868 = 2231319191757
BaseRepresentation
bin11001100010110…
…011111001011100
31002212101220010120
4121202303321130
51334202241433
6110305234540
713422444006
oct3142637134
91085356116
10428555868
111aa9aa404
12bb632a50
136aa2c170
1440cb9376
15279547b3
hex198b3e5c

428555868 has 96 divisors (see below), whose sum is σ = 1141002240. Its totient is φ = 124104960.

The previous prime is 428555861. The next prime is 428555899. The reversal of 428555868 is 868555824.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 428555868.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428555861) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 565746 + ... + 566502.

It is an arithmetic number, because the mean of its divisors is an integer number (11885440).

Almost surely, 2428555868 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 428555868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570501120).

428555868 is an abundant number, since it is smaller than the sum of its proper divisors (712446372).

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

428555868 is a wasteful number, since it uses less digits than its factorization.

428555868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 985 counting only the distinct ones).

The product of its digits is 3072000, while the sum is 51.

The square root of 428555868 is about 20701.5909533543. The cubic root of 428555868 is about 753.9383162442.

The spelling of 428555868 in words is "four hundred twenty-eight million, five hundred fifty-five thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 191 228 247 382 494 573 741 757 764 988 1146 1482 1514 2271 2292 2483 2964 3028 3629 4542 4966 7258 7449 9084 9841 9932 10887 14383 14516 14898 19682 21774 28766 29523 29796 39364 43149 43548 47177 57532 59046 86298 94354 118092 141531 144587 172596 186979 188708 283062 289174 373958 433761 560937 566124 578348 747916 867522 1121874 1735044 1879631 2243748 2747153 3759262 5494306 5638893 7518524 8241459 10988612 11277786 16482918 22555572 32965836 35712989 71425978 107138967 142851956 214277934 428555868