928128 has 32 divisors (see below), whose sum is σ = 2466360. Its totient is φ = 309248.

The previous prime is 928111. The next prime is 928139. The reversal of 928128 is 821829.

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

It is a super-2 number, since 2×928128² = 1722843168768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 928095 and 928104.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 928128.

It is an unprimeable number.

928128 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, 825 + ... + 1592.

2⁹²⁸¹²⁸ is an apocalyptic number.

It is an amenable number.

928128 is an abundant number, since it is smaller than the sum of its proper divisors (1538232).

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

928128 is a wasteful number, since it uses less digits than its factorization.

928128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434 (or 2422 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 928128 is about 963.3940003965. The cubic root of 928128 is about 97.5444636120.

The spelling of 928128 in words is "nine hundred twenty-eight thousand, one hundred twenty-eight".