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28575060768 = 253419157719
BaseRepresentation
bin11010100111001101…
…001101001100100000
32201202110000111020000
4122213031031030200
5432010203421033
621043250420000
72031055003032
oct324715151440
981673014200
1028575060768
1111133971101
125655891600
1329050c3ca7
1415510c3c52
15b239a9a13
hex6a734d320

28575060768 has 120 divisors (see below), whose sum is σ = 84479915520. Its totient is φ = 9474986880.

The previous prime is 28575060757. The next prime is 28575060779. The reversal of 28575060768 is 86706057582.

28575060768 is a `hidden beast` number, since 2 + 8 + 575 + 0 + 6 + 0 + 7 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (28575060757) and next prime (28575060779).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 466213 + ... + 523931.

It is an arithmetic number, because the mean of its divisors is an integer number (703999296).

Almost surely, 228575060768 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 28575060768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42239957760).

28575060768 is an abundant number, since it is smaller than the sum of its proper divisors (55904854752).

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

28575060768 is a wasteful number, since it uses less digits than its factorization.

28575060768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57932 (or 57915 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 28575060768 in words is "twenty-eight billion, five hundred seventy-five million, sixty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 191 216 288 324 382 432 573 648 764 864 1146 1296 1528 1719 2292 2592 3056 3438 4584 5157 6112 6876 9168 10314 13752 15471 18336 20628 27504 30942 41256 55008 57719 61884 82512 115438 123768 165024 173157 230876 247536 346314 461752 495072 519471 692628 923504 1038942 1385256 1558413 1847008 2077884 2770512 3116826 4155768 4675239 5541024 6233652 8311536 9350478 11024329 12467304 16623072 18700956 22048658 24934608 33072987 37401912 44097316 49869216 66145974 74803824 88194632 99218961 132291948 149607648 176389264 198437922 264583896 297656883 352778528 396875844 529167792 595313766 793751688 892970649 1058335584 1190627532 1587503376 1785941298 2381255064 3175006752 3571882596 4762510128 7143765192 9525020256 14287530384 28575060768