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28816729344 = 283313320699
BaseRepresentation
bin11010110101100111…
…000110010100000000
32202101021202112012000
4122311213012110000
5433004040314334
621123242304000
72040051105114
oct326547062400
982337675160
1028816729344
11112483242a7
1257027b8000
1329431aa450
141575231744
15b39ce5299
hex6b59c6500

28816729344 has 144 divisors (see below), whose sum is σ = 91771512000. Its totient is φ = 8866658304.

The previous prime is 28816729343. The next prime is 28816729349. The reversal of 28816729344 is 44392761882.

28816729344 is a `hidden beast` number, since 288 + 16 + 7 + 2 + 9 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28816729343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70494 + ... + 250205.

Almost surely, 228816729344 is an apocalyptic number.

28816729344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28816729344 is an abundant number, since it is smaller than the sum of its proper divisors (62954782656).

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

28816729344 is a wasteful number, since it uses less digits than its factorization.

28816729344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320737 (or 320717 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 28816729344 in words is "twenty-eight billion, eight hundred sixteen million, seven hundred twenty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 576 624 702 768 832 864 936 1152 1248 1404 1664 1728 1872 2304 2496 2808 3328 3456 3744 4992 5616 6912 7488 9984 11232 14976 22464 29952 44928 89856 320699 641398 962097 1282796 1924194 2565592 2886291 3848388 4169087 5131184 5772582 7696776 8338174 8658873 10262368 11545164 12507261 15393552 16676348 17317746 20524736 23090328 25014522 30787104 33352696 34635492 37521783 41049472 46180656 50029044 61574208 66705392 69270984 75043566 82098944 92361312 100058088 112565349 123148416 133410784 138541968 150087132 184722624 200116176 225130698 246296832 266821568 277083936 300174264 369445248 400232352 450261396 533643136 554167872 600348528 738890496 800464704 900522792 1067286272 1108335744 1200697056 1600929408 1801045584 2216671488 2401394112 3201858816 3602091168 4802788224 7204182336 9605576448 14408364672 28816729344