64428800 has 54 divisors (see below), whose sum is σ = 159487188. Its totient is φ = 25768960.

The previous prime is 64428799. The next prime is 64428811. The reversal of 64428800 is 882446.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1367 + ... + 11433.

Almost surely, 2^64428800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79743594).

64428800 is an abundant number, since it is smaller than the sum of its proper divisors (95058388).

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

64428800 is a wasteful number, since it uses less digits than its factorization.

64428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10093 (or 10074 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 64428800 is about 8026.7552597547. The cubic root of 64428800 is about 400.8913456155.

The spelling of 64428800 in words is "sixty-four million, four hundred twenty-eight thousand, eight hundred".