508400128 has 80 divisors (see below), whose sum is σ = 1067324544. Its totient is φ = 241643520.

The previous prime is 508400111. The next prime is 508400141. The reversal of 508400128 is 821004805.

It is a junction number, because it is equal to n+sod(n) for n = 508400096 and 508400105.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 890083 + ... + 890653.

Almost surely, 2^508400128 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 508400128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533662272).

508400128 is an abundant number, since it is smaller than the sum of its proper divisors (558924416).

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

508400128 is an equidigital number, since it uses as much as digits as its factorization.

508400128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 508400128 is about 22547.7299966094. The cubic root of 508400128 is about 798.1206552027.

The spelling of 508400128 in words is "five hundred eight million, four hundred thousand, one hundred twenty-eight".