428928 has 32 divisors (see below), whose sum is σ = 1140360. Its totient is φ = 142848.

The previous prime is 428899. The next prime is 428951. The reversal of 428928 is 829824.

428928 is nontrivially palindromic in base 7.

428928 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (32).

It is an Ulam number.

428928 is an undulating number in base 7.

It is a congruent number.

It is an unprimeable number.

428928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 175 + ... + 942.

2⁴²⁸⁹²⁸ is an apocalyptic number.

428928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

428928 is an abundant number, since it is smaller than the sum of its proper divisors (711432).

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

428928 is a wasteful number, since it uses less digits than its factorization.

428928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1122 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 428928 is about 654.9259500127. The cubic root of 428928 is about 75.4156477924.

The spelling of 428928 in words is "four hundred twenty-eight thousand, nine hundred twenty-eight".