428768 has 12 divisors (see below), whose sum is σ = 844200. Its totient is φ = 214368.

The previous prime is 428759. The next prime is 428777. The reversal of 428768 is 867824.

428768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (428759) and next prime (428777).

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

428768 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 as a sum of consecutive naturals, namely, 6668 + ... + 6731.

It is an arithmetic number, because the mean of its divisors is an integer number (70350).

2⁴²⁸⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

428768 is a deficient number, since it is larger than the sum of its proper divisors (415432).

428768 is a wasteful number, since it uses less digits than its factorization.

428768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13409 (or 13401 counting only the distinct ones).

The product of its digits is 21504, while the sum is 35.

The square root of 428768 is about 654.8037874051. The cubic root of 428768 is about 75.4062693697.

The spelling of 428768 in words is "four hundred twenty-eight thousand, seven hundred sixty-eight".