507128320 has 40 divisors (see below), whose sum is σ = 1215925524. Its totient is φ = 202850304.

The previous prime is 507128273. The next prime is 507128329. The reversal of 507128320 is 23821705.

It can be written as a sum of positive squares in 2 ways, for example, as 475588864 + 31539456 = 21808^2 + 5616^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (507128329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 96489 + ... + 101608.

Almost surely, 2^507128320 is an apocalyptic number.

It is an amenable number.

507128320 is an abundant number, since it is smaller than the sum of its proper divisors (708797204).

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

507128320 is an equidigital number, since it uses as much as digits as its factorization.

507128320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198120 (or 198104 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 507128320 is about 22519.5097637582. The cubic root of 507128320 is about 797.4545762790.

The spelling of 507128320 in words is "five hundred seven million, one hundred twenty-eight thousand, three hundred twenty".