390025728 has 120 divisors (see below), whose sum is σ = 1147597308. Its totient is φ = 127475712.

The previous prime is 390025723. The next prime is 390025771. The reversal of 390025728 is 827520093.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 389193984 + 831744 = 19728^2 + 912^2 .

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 = 390025692 and 390025701.

It is not an unprimeable number, because it can be changed into a prime (390025723) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 243426 + ... + 245022.

Almost surely, 2^390025728 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 390025728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573798654).

390025728 is an abundant number, since it is smaller than the sum of its proper divisors (757571580).

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

390025728 is a wasteful number, since it uses less digits than its factorization.

390025728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 390025728 is about 19749.0690413498. The cubic root of 390025728 is about 730.6304230754.

The spelling of 390025728 in words is "three hundred ninety million, twenty-five thousand, seven hundred twenty-eight".