428910 has 48 divisors (see below), whose sum is σ = 1128816. Its totient is φ = 103936.

The previous prime is 428899. The next prime is 428951. The reversal of 428910 is 19824.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14776 + ... + 14804.

It is an arithmetic number, because the mean of its divisors is an integer number (23517).

2⁴²⁸⁹¹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564408).

428910 is an abundant number, since it is smaller than the sum of its proper divisors (699906).

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

428910 is a wasteful number, since it uses less digits than its factorization.

428910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 428910 is about 654.9122078569. The cubic root of 428910 is about 75.4145928363.

The spelling of 428910 in words is "four hundred twenty-eight thousand, nine hundred ten".