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28523561004 = 22324326996827
BaseRepresentation
bin11010100100001000…
…110000000000101100
32201121212010000211100
4122210020300000230
5431404012423004
621034210523100
72026561160661
oct324410600054
981555100740
1028523561004
1111107896614
125640596490
1328c7532063
141548319a68
15b1e1d5739
hex6a423002c

28523561004 has 72 divisors (see below), whose sum is σ = 73816142400. Its totient is φ = 9281940192.

The previous prime is 28523560981. The next prime is 28523561057. The reversal of 28523561004 is 40016532582.

28523561004 is a `hidden beast` number, since 2 + 8 + 5 + 2 + 35 + 610 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 28523561004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4174639 + ... + 4181465.

It is an arithmetic number, because the mean of its divisors is an integer number (1025224200).

Almost surely, 228523561004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28523561004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36908071200).

28523561004 is an abundant number, since it is smaller than the sum of its proper divisors (45292581396).

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

28523561004 is a wasteful number, since it uses less digits than its factorization.

28523561004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9579 (or 9574 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 28523561004 in words is "twenty-eight billion, five hundred twenty-three million, five hundred sixty-one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 2699 5398 6827 8097 10796 13654 16194 20481 24291 27308 32388 40962 48582 61443 81924 97164 116057 122886 232114 245772 293561 348171 464228 587122 696342 880683 1044513 1174244 1392684 1761366 2089026 2642049 3522732 4178052 5284098 10568196 18426073 36852146 55278219 73704292 110556438 165834657 221112876 331669314 663338628 792321139 1584642278 2376963417 3169284556 4753926834 7130890251 9507853668 14261780502 28523561004