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28405885956 = 223717191104147
BaseRepresentation
bin11010011101000111…
…110110110000000100
32201022122200112000020
4122131013312300010
5431133401322311
621014404415140
72023632022020
oct323507666004
981278615006
1028405885956
1111057422608
1256090a74b0
1328a9040456
141536847380
15b13bddc06
hex69d1f6c04

28405885956 has 96 divisors (see below), whose sum is σ = 80625549312. Its totient is φ = 7598492160.

The previous prime is 28405885919. The next prime is 28405886011. The reversal of 28405885956 is 65958850482.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 28405885956.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220675 + ... + 324821.

It is an arithmetic number, because the mean of its divisors is an integer number (839849472).

Almost surely, 228405885956 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 28405885956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40312774656).

28405885956 is an abundant number, since it is smaller than the sum of its proper divisors (52219663356).

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

28405885956 is a wasteful number, since it uses less digits than its factorization.

28405885956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104369 (or 104367 counting only the distinct ones).

The product of its (nonzero) digits is 27648000, while the sum is 60.

The spelling of 28405885956 in words is "twenty-eight billion, four hundred five million, eight hundred eighty-five thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 191 204 238 357 382 476 573 714 764 1146 1337 1428 2292 2674 3247 4011 5348 6494 8022 9741 12988 16044 19482 22729 38964 45458 68187 90916 104147 136374 208294 272748 312441 416588 624882 729029 1249764 1458058 1770499 2187087 2916116 3540998 4374174 5311497 7081996 8748348 10622994 12393493 19892077 21245988 24786986 37180479 39784154 49573972 59676231 74360958 79568308 119352462 139244539 148721916 238704924 278489078 338165309 417733617 556978156 676330618 835467234 1014495927 1352661236 1670934468 2028991854 2367157163 4057983708 4734314326 7101471489 9468628652 14202942978 28405885956