428968 has 24 divisors (see below), whose sum is σ = 851850. Its totient is φ = 202272.

The previous prime is 428957. The next prime is 428977. The reversal of 428968 is 869824.

428968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 362404 + 66564 = 602^2 + 258^2 .

It is an unprimeable number.

428968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9955 + ... + 9997.

2⁴²⁸⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

428968 is a deficient number, since it is larger than the sum of its proper divisors (422882).

428968 is a wasteful number, since it uses less digits than its factorization.

428968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 74 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The square root of 428968 is about 654.9564871043. The cubic root of 428968 is about 75.4179920337.

The spelling of 428968 in words is "four hundred twenty-eight thousand, nine hundred sixty-eight".