388928 has 28 divisors (see below), whose sum is σ = 792480. Its totient is φ = 189312.

The previous prime is 388903. The next prime is 388931. The reversal of 388928 is 829883.

It is a junction number, because it is equal to n+sod(n) for n = 388891 and 388900.

It is a congruent number.

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, 3725 + ... + 3827.

2³⁸⁸⁹²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396240).

388928 is an abundant number, since it is smaller than the sum of its proper divisors (403552).

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

388928 is a wasteful number, since it uses less digits than its factorization.

388928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 164 counting only the distinct ones).

The product of its digits is 27648, while the sum is 38.

The square root of 388928 is about 623.6409223263. The cubic root of 388928 is about 72.9944325522.

The spelling of 388928 in words is "three hundred eighty-eight thousand, nine hundred twenty-eight".