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28454200014408 = 23371672833583721
BaseRepresentation
bin1100111100001000000100…
…11110111111011001001000
310201202012021010022021202220
412132010002132333121020
512212143200200430113
6140303402400454040
75664514413325650
oct636040236773110
9121665233267686
1028454200014408
1190803a4121703
12323674601a320
1312b52b146836c
1470529512b360
1534525bb6d523
hex19e1027bf648

28454200014408 has 128 divisors (see below), whose sum is σ = 82073541150720. Its totient is φ = 8052532830720.

The previous prime is 28454200014391. The next prime is 28454200014431. The reversal of 28454200014408 is 80441000245482.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 28454200014408.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6147988 + ... + 9731708.

It is an arithmetic number, because the mean of its divisors is an integer number (641199540240).

Almost surely, 228454200014408 is an apocalyptic number.

28454200014408 is a gapful number since it is divisible by the number (28) 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 28454200014408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41036770575360).

28454200014408 is an abundant number, since it is smaller than the sum of its proper divisors (53619341136312).

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

28454200014408 is a wasteful number, since it uses less digits than its factorization.

28454200014408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3584187 (or 3584183 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 42.

The spelling of 28454200014408 in words is "twenty-eight trillion, four hundred fifty-four billion, two hundred million, fourteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 167 168 283 334 501 566 668 849 1002 1132 1169 1336 1698 1981 2004 2264 2338 3396 3507 3962 4008 4676 5943 6792 7014 7924 9352 11886 14028 15848 23772 28056 47261 47544 94522 141783 189044 283566 330827 378088 567132 661654 992481 1134264 1323308 1984962 2646616 3583721 3969924 7167442 7939848 10751163 14334884 21502326 25086047 28669768 43004652 50172094 75258141 86009304 100344188 150516282 200688376 301032564 598481407 602065128 1014193043 1196962814 1795444221 2028386086 2393925628 3042579129 3590888442 4056772172 4189369849 4787851256 6085158258 7099351301 7181776884 8113544344 8378739698 12170316516 12568109547 14198702602 14363553768 16757479396 21298053903 24340633032 25136219094 28397405204 33514958792 42596107806 50272438188 56794810408 85192215612 100544876376 169370238181 170384431224 338740476362 508110714543 677480952724 1016221429086 1185591667267 1354961905448 2032442858172 2371183334534 3556775001801 4064885716344 4742366669068 7113550003602 9484733338136 14227100007204 28454200014408