390628 has 18 divisors (see below), whose sum is σ = 795606. Its totient is φ = 167328.

The previous prime is 390581. The next prime is 390647. The reversal of 390628 is 826093.

It can be written as a sum of positive squares in only one way, i.e., 362404 + 28224 = 602^2 + 168^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 390596 and 390605.

It is an unprimeable number.

390628 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 5 ways as a sum of consecutive naturals, for example, 801 + ... + 1192.

390628 is a Friedman number, since it can be written as 9-6+(3+2+0)^8, using all its digits and the basic arithmetic operations.

2³⁹⁰⁶²⁸ is an apocalyptic number.

It is an amenable number.

390628 is an abundant number, since it is smaller than the sum of its proper divisors (404978).

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

390628 is a wasteful number, since it uses less digits than its factorization.

390628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 390628 is about 625.0023999954. The cubic root of 390628 is about 73.1006305920.

The spelling of 390628 in words is "three hundred ninety thousand, six hundred twenty-eight".