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28927893984 = 25311219131071
BaseRepresentation
bin11010111100001111…
…001010000111100000
32202200000221021101220
4122330033022013200
5433221020101414
621142253055040
72042601020223
oct327417120740
982600837356
1028927893984
11112a5050a00
125733a87480
13296022c942
141585ccb5ba
15b44952ca9
hex6bc3ca1e0

28927893984 has 144 divisors (see below), whose sum is σ = 87860183040. Its totient is φ = 8304595200.

The previous prime is 28927893961. The next prime is 28927893989. The reversal of 28927893984 is 48939872982.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28927893989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155169 + ... + 286239.

It is an arithmetic number, because the mean of its divisors is an integer number (610140160).

Almost surely, 228927893984 is an apocalyptic number.

28927893984 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 28927893984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43930091520).

28927893984 is an abundant number, since it is smaller than the sum of its proper divisors (58932289056).

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

28927893984 is a wasteful number, since it uses less digits than its factorization.

28927893984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131125 (or 131106 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 69.

The spelling of 28927893984 in words is "twenty-eight billion, nine hundred twenty-seven million, eight hundred ninety-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 66 76 88 96 114 121 132 152 176 209 228 242 264 304 352 363 418 456 484 528 608 627 726 836 912 968 1056 1254 1452 1672 1824 1936 2299 2508 2904 3344 3872 4598 5016 5808 6688 6897 9196 10032 11616 13794 18392 20064 27588 36784 55176 73568 110352 131071 220704 262142 393213 524284 786426 1048568 1441781 1572852 2097136 2490349 2883562 3145704 4194272 4325343 4980698 5767124 6291408 7471047 8650686 9961396 11534248 12582816 14942094 15859591 17301372 19922792 23068496 27393839 29884188 31719182 34602744 39845584 46136992 47578773 54787678 59768376 63438364 69205488 79691168 82181517 95157546 109575356 119536752 126876728 138410976 164363034 190315092 219150712 239073504 253753456 301332229 328726068 380630184 438301424 507506912 602664458 657452136 761260368 876602848 903996687 1205328916 1314904272 1522520736 1807993374 2410657832 2629808544 3615986748 4821315664 7231973496 9642631328 14463946992 28927893984