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28285843584 = 2731741105683
BaseRepresentation
bin11010010101111101…
…111011100010000000
32201000021210201211110
4122111331323202000
5430412133443314
620554435443320
72020643463165
oct322575734200
981007721743
1028285843584
1110aa5691a39
125594a56540
13288a20016b
14152491a06c
15b083caa59
hex695f7b880

28285843584 has 128 divisors (see below), whose sum is σ = 81495046080. Its totient is φ = 8657469440.

The previous prime is 28285843561. The next prime is 28285843589. The reversal of 28285843584 is 48534858282.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (28285843589) 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, 214807 + ... + 320489.

Almost surely, 228285843584 is an apocalyptic number.

28285843584 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 28285843584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40747523040).

28285843584 is an abundant number, since it is smaller than the sum of its proper divisors (53209202496).

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

28285843584 is a wasteful number, since it uses less digits than its factorization.

28285843584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105758 (or 105746 counting only the distinct ones).

The product of its digits is 19660800, while the sum is 57.

The spelling of 28285843584 in words is "twenty-eight billion, two hundred eighty-five million, eight hundred forty-three thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 41 48 51 64 68 82 96 102 123 128 136 164 192 204 246 272 328 384 408 492 544 656 697 816 984 1088 1312 1394 1632 1968 2091 2176 2624 2788 3264 3936 4182 5248 5576 6528 7872 8364 11152 15744 16728 22304 33456 44608 66912 89216 105683 133824 211366 267648 317049 422732 634098 845464 1268196 1690928 1796611 2536392 3381856 3593222 4333003 5072784 5389833 6763712 7186444 8666006 10145568 10779666 12999009 13527424 14372888 17332012 20291136 21559332 25998018 28745776 34664024 40582272 43118664 51996036 57491552 69328048 73661051 86237328 103992072 114983104 138656096 147322102 172474656 207984144 220983153 229966208 277312192 294644204 344949312 415968288 441966306 554624384 589288408 689898624 831936576 883932612 1178576816 1663873152 1767865224 2357153632 3535730448 4714307264 7071460896 9428614528 14142921792 28285843584