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28534483584 = 273247211213
BaseRepresentation
bin11010100100110010…
…011010101010000000
32201122121122221210100
4122210302122222000
5431414311433314
621035241002400
72030053052145
oct324462325200
981577587710
1028534483584
1111112a76942
125644183400
1328c9887819
1415499603cc
15b20141c09
hex6a4c9aa80

28534483584 has 144 divisors (see below), whose sum is σ = 83902643370. Its totient is φ = 9308292096.

The previous prime is 28534483573. The next prime is 28534483589. The reversal of 28534483584 is 48538443582.

28534483584 is a `hidden beast` number, since 2 + 8 + 53 + 4 + 4 + 8 + 3 + 584 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28248197184 + 286286400 = 168072^2 + 16920^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 28534483584.

It is not an unprimeable number, because it can be changed into a prime (28534483589) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2539162 + ... + 2550374.

Almost surely, 228534483584 is an apocalyptic number.

28534483584 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 28534483584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41951321685).

28534483584 is an abundant number, since it is smaller than the sum of its proper divisors (55368159786).

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

28534483584 is a wasteful number, since it uses less digits than its factorization.

28534483584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11327 (or 11265 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 54.

The spelling of 28534483584 in words is "twenty-eight billion, five hundred thirty-four million, four hundred eighty-three thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 128 141 144 188 192 282 288 376 384 423 564 576 752 846 1128 1152 1504 1692 2209 2256 3008 3384 4418 4512 6016 6627 6768 8836 9024 11213 13254 13536 17672 18048 19881 22426 26508 27072 33639 35344 39762 44852 53016 54144 67278 70688 79524 89704 100917 106032 134556 141376 159048 179408 201834 212064 269112 282752 318096 358816 403668 424128 527011 538224 636192 717632 807336 848256 1054022 1076448 1272384 1435264 1581033 1614672 2108044 2152896 2544768 3162066 3229344 4216088 4305792 4743099 6324132 6458688 8432176 9486198 12648264 12917376 16864352 18972396 24769517 25296528 33728704 37944792 49539034 50593056 67457408 74308551 75889584 99078068 101186112 148617102 151779168 198156136 202372224 222925653 297234204 303558336 396312272 445851306 594468408 607116672 792624544 891702612 1188936816 1585249088 1783405224 2377873632 3170498176 3566810448 4755747264 7133620896 9511494528 14267241792 28534483584