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28402632096 = 25359732941
BaseRepresentation
bin11010011100111011…
…011100010110100000
32201022102120012112220
4122130323130112200
5431132033211341
621014210551040
72023562250366
oct323473342640
981272505486
1028402632096
11110555aa973
125607b98480
1328a84713a7
14153623b636
15b13799a66
hex69cedc5a0

28402632096 has 144 divisors (see below), whose sum is σ = 76955145120. Its totient is φ = 9169827840.

The previous prime is 28402632073. The next prime is 28402632101. The reversal of 28402632096 is 69023620482.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30182986 + ... + 30183926.

It is an arithmetic number, because the mean of its divisors is an integer number (534410730).

Almost surely, 228402632096 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 28402632096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38477572560).

28402632096 is an abundant number, since it is smaller than the sum of its proper divisors (48552513024).

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

28402632096 is an equidigital number, since it uses as much as digits as its factorization.

28402632096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 28402632096 in words is "twenty-eight billion, four hundred two million, six hundred thirty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 73 96 118 146 177 219 236 292 354 438 472 584 708 876 941 944 1168 1416 1752 1882 1888 2336 2823 2832 3504 3764 4307 5329 5646 5664 7008 7528 8614 10658 11292 12921 15056 15987 17228 21316 22584 25842 30112 31974 34456 42632 45168 51684 55519 63948 68693 68912 85264 90336 103368 111038 127896 137386 137824 166557 170528 206079 206736 222076 255792 274772 314411 333114 412158 413472 444152 511584 549544 628822 666228 824316 888304 943233 1099088 1257644 1332456 1648632 1776608 1886466 2198176 2515288 2664912 3297264 3772932 4052887 5014589 5030576 5329824 6594528 7545864 8105774 10029178 10061152 12158661 15043767 15091728 16211548 20058356 24317322 30087534 30183456 32423096 40116712 48634644 60175068 64846192 80233424 97269288 120350136 129692384 160466848 194538576 240700272 295860751 389077152 481400544 591721502 887582253 1183443004 1775164506 2366886008 3550329012 4733772016 7100658024 9467544032 14201316048 28402632096