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28137440430 = 23251125943793
BaseRepresentation
bin11010001101000111…
…110100010010101110
32200121221120001222100
4122031013310102232
5430111141043210
620532014555530
72014162204011
oct321507642256
980557501870
1028137440430
1110a29940500
125553208ba6
132865540048
14150cd29378
15aea3645c0
hex68d1f44ae

28137440430 has 144 divisors (see below), whose sum is σ = 81777412080. Its totient is φ = 6705431040.

The previous prime is 28137440411. The next prime is 28137440437. The reversal of 28137440430 is 3404473182.

28137440430 is a `hidden beast` number, since 281 + 374 + 4 + 0 + 4 + 3 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28137440437) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 620614 + ... + 664406.

It is an arithmetic number, because the mean of its divisors is an integer number (567898695).

Almost surely, 228137440430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28137440430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40888706040).

28137440430 is an abundant number, since it is smaller than the sum of its proper divisors (53639971650).

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

28137440430 is a wasteful number, since it uses less digits than its factorization.

28137440430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43887 (or 43873 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 28137440430 in words is "twenty-eight billion, one hundred thirty-seven million, four hundred forty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 59 66 90 99 110 118 121 165 177 198 242 295 330 354 363 495 531 590 605 649 726 885 990 1062 1089 1210 1298 1770 1815 1947 2178 2655 3245 3630 3894 5310 5445 5841 6490 7139 9735 10890 11682 14278 19470 21417 29205 35695 42834 43793 58410 64251 71390 87586 107085 128502 131379 214170 218965 262758 321255 394137 437930 481723 642510 656895 788274 963446 1313790 1445169 1970685 2408615 2583787 2890338 3941370 4335507 4817230 5167574 5298953 7225845 7751361 8671014 10597906 12918935 14451690 15502722 15896859 21677535 23254083 25837870 26494765 28421657 31793718 38756805 43355070 46508166 47690577 52989530 56843314 77513610 79484295 85264971 95381154 116270415 142108285 158968590 170529942 232540830 238452885 255794913 284216570 312638227 426324855 476905770 511589826 625276454 852649710 937914681 1278974565 1563191135 1875829362 2557949130 2813744043 3126382270 4689573405 5627488086 9379146810 14068720215 28137440430