28468882800 has 90 divisors (see below), whose sum is σ = 98794943832. Its totient is φ = 7591701120.

The previous prime is 28468882781. The next prime is 28468882801. The reversal of 28468882800 is 828886482.

28468882800 is a `hidden beast` number, since 28 + 468 + 8 + 82 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28468882801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3950412 + ... + 3957611.

Almost surely, 2^28468882800 is an apocalyptic number.

28468882800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28468882800 is an abundant number, since it is smaller than the sum of its proper divisors (70326061032).

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

28468882800 is a wasteful number, since it uses less digits than its factorization.

28468882800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7908047 (or 7908033 counting only the distinct ones).

The product of its (nonzero) digits is 3145728, while the sum is 54.

The spelling of 28468882800 in words is "twenty-eight billion, four hundred sixty-eight million, eight hundred eighty-two thousand, eight hundred".