428800 has 54 divisors (see below), whose sum is σ = 1077188. Its totient is φ = 168960.

The previous prime is 428797. The next prime is 428801. The reversal of 428800 is 8824.

It is not an unprimeable number, because it can be changed into a prime (428801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6367 + ... + 6433.

2⁴²⁸⁸⁰⁰ is an apocalyptic number.

428800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538594).

428800 is an abundant number, since it is smaller than the sum of its proper divisors (648388).

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

428800 is an equidigital number, since it uses as much as digits as its factorization.

428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 428800 is about 654.8282217498. The cubic root of 428800 is about 75.4081452408.

The spelling of 428800 in words is "four hundred twenty-eight thousand, eight hundred".