392288 has 48 divisors (see below), whose sum is σ = 889056. Its totient is φ = 168960.

The previous prime is 392281. The next prime is 392297. The reversal of 392288 is 882293.

It is a happy number.

392288 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 392288.

It is not an unprimeable number, because it can be changed into a prime (392281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9548 + ... + 9588.

It is an arithmetic number, because the mean of its divisors is an integer number (18522).

2³⁹²²⁸⁸ 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 392288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444528).

392288 is an abundant number, since it is smaller than the sum of its proper divisors (496768).

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

392288 is a wasteful number, since it uses less digits than its factorization.

392288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 79 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 392288 is about 626.3289870348. The cubic root of 392288 is about 73.2040329429.

It can be divided in two parts, 392 and 288, that multiplied together give a square (112896 = 336²).

The spelling of 392288 in words is "three hundred ninety-two thousand, two hundred eighty-eight".