390828 has 12 divisors (see below), whose sum is σ = 911960. Its totient is φ = 130272.

The previous prime is 390821. The next prime is 390829. The reversal of 390828 is 828093.

It is a tau number, because it is divible by the number of its divisors (12).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 3 + 9⁵ + 8⁴ + 0 + 2¹⁶ + 8⁶ .

It is a junction number, because it is equal to n+sod(n) for n = 390795 and 390804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390821) by changing a digit.

390828 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16273 + ... + 16296.

2³⁹⁰⁸²⁸ is an apocalyptic number.

It is an amenable number.

390828 is an abundant number, since it is smaller than the sum of its proper divisors (521132).

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

390828 is a wasteful number, since it uses less digits than its factorization.

390828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32576 (or 32574 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 390828 is about 625.1623789065. The cubic root of 390828 is about 73.1131042085.

It can be divided in two parts, 3 and 90828, that multiplied together give a square (272484 = 522²).

The spelling of 390828 in words is "three hundred ninety thousand, eight hundred twenty-eight".