28762216200 has 72 divisors (see below), whose sum is σ = 96593115450. Its totient is φ = 7669923840.

The previous prime is 28762216181. The next prime is 28762216247. The reversal of 28762216200 is 261226782.

28762216200 is a `hidden beast` number, since 2 + 8 + 7 + 6 + 2 + 21 + 620 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 13272422436 + 15489793764 = 115206^2 + 124458^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7987705 + ... + 7991304.

Almost surely, 2^28762216200 is an apocalyptic number.

28762216200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28762216200 is an abundant number, since it is smaller than the sum of its proper divisors (67830899250).

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

28762216200 is a wasteful number, since it uses less digits than its factorization.

28762216200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15979031 (or 15979019 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 28762216200 in words is "twenty-eight billion, seven hundred sixty-two million, two hundred sixteen thousand, two hundred".