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428738832 = 2434378941
BaseRepresentation
bin11001100011100…
…000100100010000
31002212202012010000
4121203200210100
51334224120312
6110313210000
713424135304
oct3143404420
91085665100
10428738832
11200014915
12bb700900
136aa94522
1440d25d04
152798dadc
hex198e0910

428738832 has 100 divisors (see below), whose sum is σ = 1274574796. Its totient is φ = 139034880.

The previous prime is 428738803. The next prime is 428738851. The reversal of 428738832 is 238837824.

It can be written as a sum of positive squares in 2 ways, for example, as 338412816 + 90326016 = 18396^2 + 9504^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43482 + ... + 52422.

Almost surely, 2428738832 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 428738832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637287398).

428738832 is an abundant number, since it is smaller than the sum of its proper divisors (845835964).

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

428738832 is a wasteful number, since it uses less digits than its factorization.

428738832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8998 (or 8983 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 428738832 is about 20706.0095624435. The cubic root of 428738832 is about 754.0455943178.

The spelling of 428738832 in words is "four hundred twenty-eight million, seven hundred thirty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 81 108 111 144 148 162 216 222 296 324 333 432 444 592 648 666 888 999 1296 1332 1776 1998 2664 2997 3996 5328 5994 7992 8941 11988 15984 17882 23976 26823 35764 47952 53646 71528 80469 107292 143056 160938 214584 241407 321876 330817 429168 482814 643752 661634 724221 965628 992451 1287504 1323268 1448442 1931256 1984902 2646536 2896884 2977353 3862512 3969804 5293072 5793768 5954706 7939608 8932059 11587536 11909412 15879216 17864118 23818824 26796177 35728236 47637648 53592354 71456472 107184708 142912944 214369416 428738832