428964 has 12 divisors (see below), whose sum is σ = 1000944. Its totient is φ = 142984.

The previous prime is 428957. The next prime is 428977. The reversal of 428964 is 469824.

428964 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×428964² = 368020226592, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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, 17862 + ... + 17885.

It is an arithmetic number, because the mean of its divisors is an integer number (83412).

2⁴²⁸⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

428964 is an abundant number, since it is smaller than the sum of its proper divisors (571980).

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

428964 is a wasteful number, since it uses less digits than its factorization.

428964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35754 (or 35752 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 428964 is about 654.9534334592. The cubic root of 428964 is about 75.4177576161.

The spelling of 428964 in words is "four hundred twenty-eight thousand, nine hundred sixty-four".