Search a number
-
+
28816684128 = 2532131763801
BaseRepresentation
bin11010110101100110…
…111011010001100000
32202101021200020011100
4122311212323101200
5433004032343003
621123241314400
72040050526231
oct326546732140
982337606140
1028816684128
11112482a3331
125702795a00
1329431929ab
14157521d088
15b39cd6ba3
hex6b59bb460

28816684128 has 72 divisors (see below), whose sum is σ = 82573106616. Its totient is φ = 9532224000.

The previous prime is 28816684111. The next prime is 28816684151. The reversal of 28816684128 is 82148661882.

28816684128 is a `hidden beast` number, since 288 + 166 + 84 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 344173 + ... + 419628.

It is an arithmetic number, because the mean of its divisors is an integer number (1146848703).

Almost surely, 228816684128 is an apocalyptic number.

It is an amenable number.

28816684128 is an abundant number, since it is smaller than the sum of its proper divisors (53756422488).

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

28816684128 is a wasteful number, since it uses less digits than its factorization.

28816684128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763948 (or 763937 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 54.

The spelling of 28816684128 in words is "twenty-eight billion, eight hundred sixteen million, six hundred eighty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 131 144 262 288 393 524 786 1048 1179 1572 2096 2358 3144 4192 4716 6288 9432 12576 18864 37728 763801 1527602 2291403 3055204 4582806 6110408 6874209 9165612 12220816 13748418 18331224 24441632 27496836 36662448 54993672 73324896 100057931 109987344 200115862 219974688 300173793 400231724 600347586 800463448 900521379 1200695172 1600926896 1801042758 2401390344 3201853792 3602085516 4802780688 7204171032 9605561376 14408342064 28816684128