392128 has 28 divisors (see below), whose sum is σ = 850392. Its totient is φ = 177920.

The previous prime is 392113. The next prime is 392131. The reversal of 392128 is 821293.

It is a congruent number.

It is an unprimeable 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, 426 + ... + 982.

2³⁹²¹²⁸ 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 392128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425196).

392128 is an abundant number, since it is smaller than the sum of its proper divisors (458264).

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

392128 is a wasteful number, since it uses less digits than its factorization.

392128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 570 counting only the distinct ones).

The product of its digits is 864, while the sum is 25.

The square root of 392128 is about 626.2012456072. The cubic root of 392128 is about 73.1940791691.

It can be divided in two parts, 392 and 128, that multiplied together give a square (50176 = 224²).

The spelling of 392128 in words is "three hundred ninety-two thousand, one hundred twenty-eight".