388152 has 40 divisors (see below), whose sum is σ = 1089000. Its totient is φ = 129168.

The previous prime is 388133. The next prime is 388159. The reversal of 388152 is 251883.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388159) by changing a digit.

388152 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 349 + ... + 947.

It is an arithmetic number, because the mean of its divisors is an integer number (27225).

2³⁸⁸¹⁵² 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 388152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544500).

388152 is an abundant number, since it is smaller than the sum of its proper divisors (700848).

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

388152 is a wasteful number, since it uses less digits than its factorization.

388152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 604 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 388152 is about 623.0184587956. The cubic root of 388152 is about 72.9458533860.

The spelling of 388152 in words is "three hundred eighty-eight thousand, one hundred fifty-two".