28866566400 has 648 divisors, whose sum is σ = 112859901504. Its totient is φ = 6477004800.

The previous prime is 28866566363. The next prime is 28866566401. The reversal of 28866566400 is 466566882.

It is not an unprimeable number, because it can be changed into a prime (28866566401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57388549 + ... + 57389051.

Almost surely, 2^28866566400 is an apocalyptic number.

28866566400 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 28866566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56429950752).

28866566400 is an abundant number, since it is smaller than the sum of its proper divisors (83993335104).

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

28866566400 is a wasteful number, since it uses less digits than its factorization.

28866566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 28866566400 in words is "twenty-eight billion, eight hundred sixty-six million, five hundred sixty-six thousand, four hundred".