428900 has 18 divisors (see below), whose sum is σ = 930930. Its totient is φ = 171520.

The previous prime is 428899. The next prime is 428951. The reversal of 428900 is 9824.

It can be written as a sum of positive squares in 3 ways, for example, as 106276 + 322624 = 326^2 + 568^2 .

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, 2045 + ... + 2244.

2⁴²⁸⁹⁰⁰ is an apocalyptic number.

It is an amenable number.

428900 is an abundant number, since it is smaller than the sum of its proper divisors (502030).

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

428900 is a wasteful number, since it uses less digits than its factorization.

428900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4303 (or 4296 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 428900 is about 654.9045732013. The cubic root of 428900 is about 75.4140067368.

It can be divided in two parts, 4 and 28900, that multiplied together give a square (115600 = 340²).

The spelling of 428900 in words is "four hundred twenty-eight thousand, nine hundred".