28566504960 has 640 divisors, whose sum is σ = 109892395008. Its totient is φ = 6193152000.

The previous prime is 28566504917. The next prime is 28566504961. The reversal of 28566504960 is 6940566582.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28566504961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101660020 + ... + 101660300.

Almost surely, 2^28566504960 is an apocalyptic number.

28566504960 is a gapful number since it is divisible by the number (20) 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 28566504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54946197504).

28566504960 is an abundant number, since it is smaller than the sum of its proper divisors (81325890048).

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

28566504960 is a wasteful number, since it uses less digits than its factorization.

28566504960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 28566504960 in words is "twenty-eight billion, five hundred sixty-six million, five hundred four thousand, nine hundred sixty".