392028 has 48 divisors (see below), whose sum is σ = 1128960. Its totient is φ = 103104.

The previous prime is 392011. The next prime is 392033. The reversal of 392028 is 820293.

392028 = T₇ + T₈ + ... + T₁₃₂.

It is a junction number, because it is equal to n+sod(n) for n = 391989 and 392007.

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 392028.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 913 + ... + 1271.

It is an arithmetic number, because the mean of its divisors is an integer number (23520).

2³⁹²⁰²⁸ 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 392028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564480).

392028 is an abundant number, since it is smaller than the sum of its proper divisors (736932).

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

392028 is a wasteful number, since it uses less digits than its factorization.

392028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 392028 is about 626.1213939804. The cubic root of 392028 is about 73.1878566855.

The spelling of 392028 in words is "three hundred ninety-two thousand, twenty-eight".