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28559443968 = 21136113747
BaseRepresentation
bin11010100110010001…
…101000100000000000
32201201100122002000000
4122212101220200000
5431442204201333
621041532000000
72030505161016
oct324621504000
981640562000
1028559443968
1111126074a60
125650600000
132901ab6993
14154cdba8b6
15b22422713
hex6a6468800

28559443968 has 672 divisors, whose sum is σ = 97967076480. Its totient is φ = 8241315840.

The previous prime is 28559443967. The next prime is 28559443987. The reversal of 28559443968 is 86934495582.

28559443968 is a `hidden beast` number, since 2 + 8 + 5 + 594 + 4 + 39 + 6 + 8 = 666.

It is a super-2 number, since 2×285594439682 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

Its product of digits (74649600) is a multiple of the sum of its prime divisors (100).

It is not an unprimeable number, because it can be changed into a prime (28559443963) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 607647721 + ... + 607647767.

It is an arithmetic number, because the mean of its divisors is an integer number (145784340).

Almost surely, 228559443968 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 28559443968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48983538240).

28559443968 is an abundant number, since it is smaller than the sum of its proper divisors (69407632512).

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

28559443968 is an equidigital number, since it uses as much as digits as its factorization.

28559443968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 100 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

The spelling of 28559443968 in words is "twenty-eight billion, five hundred fifty-nine million, four hundred forty-three thousand, nine hundred sixty-eight".