28164600 has 72 divisors (see below), whose sum is σ = 94592160. Its totient is φ = 7510080.

The previous prime is 28164599. The next prime is 28164637. The reversal of 28164600 is 646182.

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

It is a congruent number.

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, 6024 + ... + 9623.

It is an arithmetic number, because the mean of its divisors is an integer number (1313780).

Almost surely, 2^28164600 is an apocalyptic number.

28164600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28164600 is an abundant number, since it is smaller than the sum of its proper divisors (66427560).

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

28164600 is a wasteful number, since it uses less digits than its factorization.

28164600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15669 (or 15657 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 28164600 is about 5307.0330694278. The cubic root of 28164600 is about 304.2527618504.

The spelling of 28164600 in words is "twenty-eight million, one hundred sixty-four thousand, six hundred".