388992 has 32 divisors (see below), whose sum is σ = 1034280. Its totient is φ = 129536.

The previous prime is 388991. The next prime is 389003. The reversal of 388992 is 299883.

388992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 388992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388991) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 123 + ... + 890.

2³⁸⁸⁹⁹² is an apocalyptic number.

388992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517140).

388992 is an abundant number, since it is smaller than the sum of its proper divisors (645288).

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

388992 is a wasteful number, since it uses less digits than its factorization.

388992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1018 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The square root of 388992 is about 623.6922317939. The cubic root of 388992 is about 72.9984361959.

The spelling of 388992 in words is "three hundred eighty-eight thousand, nine hundred ninety-two".