28256516064 has 192 divisors, whose sum is σ = 99146073600. Its totient is φ = 7648349184.

The previous prime is 28256516053. The next prime is 28256516111. The reversal of 28256516064 is 46061565282.

28256516064 is a `hidden beast` number, since 2 + 82 + 56 + 516 + 0 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8037 + ... + 237860.

It is an arithmetic number, because the mean of its divisors is an integer number (516385800).

Almost surely, 2^28256516064 is an apocalyptic number.

28256516064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28256516064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49573036800).

28256516064 is an abundant number, since it is smaller than the sum of its proper divisors (70889557536).

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

28256516064 is a wasteful number, since it uses less digits than its factorization.

28256516064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245942 (or 245928 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 28256516064 in words is "twenty-eight billion, two hundred fifty-six million, five hundred sixteen thousand, sixty-four".