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728290472 = 237131783709
BaseRepresentation
bin101011011010001…
…101010010101000
31212202101222201012
4223122031102220
52442420243342
6200133443052
724022236560
oct5332152250
91782358635
10728290472
11344112458
12183aa0488
13b7b66210
146ca1dda0
1543e0eb82
hex2b68d4a8

728290472 has 128 divisors (see below), whose sum is σ = 1803513600. Its totient is φ = 267522048.

The previous prime is 728290457. The next prime is 728290487. The reversal of 728290472 is 274092827.

It is an interprime number because it is at equal distance from previous prime (728290457) and next prime (728290487).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1026854 + ... + 1027562.

It is an arithmetic number, because the mean of its divisors is an integer number (14089950).

Almost surely, 2728290472 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 728290472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901756800).

728290472 is an abundant number, since it is smaller than the sum of its proper divisors (1075223128).

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

728290472 is a wasteful number, since it uses less digits than its factorization.

728290472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The square root of 728290472 is about 26986.8573939242. The cubic root of 728290472 is about 899.7079183882.

The spelling of 728290472 in words is "seven hundred twenty-eight million, two hundred ninety thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 17 26 28 34 52 56 68 83 91 104 119 136 166 182 221 238 332 364 442 476 581 664 709 728 884 952 1079 1162 1411 1418 1547 1768 2158 2324 2822 2836 3094 4316 4648 4963 5644 5672 6188 7553 8632 9217 9877 9926 11288 12053 12376 15106 18343 18434 19754 19852 24106 30212 36686 36868 39508 39704 48212 58847 60424 64519 73372 73736 79016 84371 96424 117694 128401 129038 146744 156689 168742 235388 256802 258076 313378 337484 411929 470776 513604 516152 626756 674968 765011 823858 1000399 1027208 1096823 1253512 1530022 1647716 2000798 2193646 3060044 3295432 4001596 4387292 5355077 6120088 7002793 8003192 8774584 10710154 13005187 14005586 21420308 26010374 28011172 42840616 52020748 56022344 91036309 104041496 182072618 364145236 728290472