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28870838784 = 293219132803
BaseRepresentation
bin11010111000110101…
…100000101000000000
32202112001120120101100
4122320311200220000
5433111413320114
621132454134400
72041306036434
oct327065405000
982461516340
1028870838784
1111275921547
125718951400
132951474178
14157c4b89c4
15b3e932909
hex6b8d60a00

28870838784 has 120 divisors (see below), whose sum is σ = 83761996032. Its totient is φ = 9572935680.

The previous prime is 28870838767. The next prime is 28870838791. The reversal of 28870838784 is 48783807882.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 863727 + ... + 896529.

Almost surely, 228870838784 is an apocalyptic number.

28870838784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28870838784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41880998016).

28870838784 is an abundant number, since it is smaller than the sum of its proper divisors (54891157248).

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

28870838784 is a wasteful number, since it uses less digits than its factorization.

28870838784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33018 (or 32999 counting only the distinct ones).

The product of its (nonzero) digits is 38535168, while the sum is 63.

The spelling of 28870838784 in words is "twenty-eight billion, eight hundred seventy million, eight hundred thirty-eight thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 191 192 256 288 382 384 512 573 576 764 768 1146 1152 1528 1536 1719 2292 2304 3056 3438 4584 4608 6112 6876 9168 12224 13752 18336 24448 27504 32803 36672 48896 55008 65606 73344 97792 98409 110016 131212 146688 196818 220032 262424 293376 295227 393636 440064 524848 590454 787272 880128 1049696 1180908 1574544 2099392 2361816 3149088 4198784 4723632 6265373 6298176 8397568 9447264 12530746 12596352 16795136 18796119 18894528 25061492 25192704 37592238 37789056 50122984 50385408 56388357 75184476 75578112 100245968 112776714 150368952 151156224 200491936 225553428 300737904 400983872 451106856 601475808 801967744 902213712 1202951616 1603935488 1804427424 2405903232 3207870976 3608854848 4811806464 7217709696 9623612928 14435419392 28870838784