388832 has 24 divisors (see below), whose sum is σ = 793800. Its totient is φ = 187264.

The previous prime is 388823. The next prime is 388837. The reversal of 388832 is 238883.

388832 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 388832.

It is not an unprimeable number, because it can be changed into a prime (388837) by changing a digit.

388832 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 (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 719 + ... + 1137.

It is an arithmetic number, because the mean of its divisors is an integer number (33075).

2³⁸⁸⁸³² is an apocalyptic number.

388832 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 388832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396900).

388832 is an abundant number, since it is smaller than the sum of its proper divisors (404968).

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

388832 is a wasteful number, since it uses less digits than its factorization.

388832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 450 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 388832 is about 623.5639502088. The cubic root of 388832 is about 72.9884262630.

The spelling of 388832 in words is "three hundred eighty-eight thousand, eight hundred thirty-two".