390032928 has 96 divisors (see below), whose sum is σ = 1143979200. Its totient is φ = 129282048.

The previous prime is 390032927. The next prime is 390032939. The reversal of 390032928 is 829230093.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 390032892 and 390032901.

It is not an unprimeable number, because it can be changed into a prime (390032927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165583 + ... + 167921.

It is an arithmetic number, because the mean of its divisors is an integer number (11916450).

Almost surely, 2^390032928 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 390032928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571989600).

390032928 is an abundant number, since it is smaller than the sum of its proper divisors (753946272).

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

390032928 is a wasteful number, since it uses less digits than its factorization.

390032928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2551 (or 2537 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 390032928 is about 19749.2513275820. The cubic root of 390032928 is about 730.6349189384.

The spelling of 390032928 in words is "three hundred ninety million, thirty-two thousand, nine hundred twenty-eight".