392928 has 24 divisors (see below), whose sum is σ = 1031688. Its totient is φ = 130944.

The previous prime is 392927. The next prime is 392929. The reversal of 392928 is 829293.

It is an interprime number because it is at equal distance from previous prime (392927) and next prime (392929).

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (392923) 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, 1951 + ... + 2142.

It is an arithmetic number, because the mean of its divisors is an integer number (42987).

2³⁹²⁹²⁸ is an apocalyptic number.

It is an amenable number.

392928 is an abundant number, since it is smaller than the sum of its proper divisors (638760).

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

392928 is a wasteful number, since it uses less digits than its factorization.

392928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4106 (or 4098 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 392928 is about 626.8396924254. The cubic root of 392928 is about 73.2438209949.

Adding to 392928 its reverse (829293), we get a palindrome (1222221).

It can be divided in two parts, 3 and 92928, that multiplied together give a square (278784 = 528²).

The spelling of 392928 in words is "three hundred ninety-two thousand, nine hundred twenty-eight".