428320 has 24 divisors (see below), whose sum is σ = 1012284. Its totient is φ = 171264.

The previous prime is 428303. The next prime is 428339. The reversal of 428320 is 23824.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 364816 + 63504 = 604^2 + 252^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1179 + ... + 1498.

2⁴²⁸³²⁰ is an apocalyptic number.

428320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428320 is an abundant number, since it is smaller than the sum of its proper divisors (583964).

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

428320 is a wasteful number, since it uses less digits than its factorization.

428320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2692 (or 2684 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 428320 is about 654.4616107916. The cubic root of 428320 is about 75.3799973677.

Subtracting from 428320 its reverse (23824), we obtain a square (404496 = 636²).

The spelling of 428320 in words is "four hundred twenty-eight thousand, three hundred twenty".