28964400 has 60 divisors (see below), whose sum is σ = 92786472. Its totient is φ = 7723520.

The previous prime is 28964399. The next prime is 28964423. The reversal of 28964400 is 446982.

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10869 + ... + 13268.

Almost surely, 2^28964400 is an apocalyptic number.

28964400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28964400 is an abundant number, since it is smaller than the sum of its proper divisors (63822072).

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

28964400 is a wasteful number, since it uses less digits than its factorization.

28964400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24158 (or 24147 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 28964400 is about 5381.8584150830. The cubic root of 28964400 is about 307.1059132984.

The spelling of 28964400 in words is "twenty-eight million, nine hundred sixty-four thousand, four hundred".