508528020 has 192 divisors, whose sum is σ = 1912006656. Its totient is φ = 97528320.

The previous prime is 508527991. The next prime is 508528039. The reversal of 508528020 is 20825805.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55827 + ... + 64293.

It is an arithmetic number, because the mean of its divisors is an integer number (9958368).

Almost surely, 2^508528020 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 508528020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956003328).

508528020 is an abundant number, since it is smaller than the sum of its proper divisors (1403478636).

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

508528020 is a wasteful number, since it uses less digits than its factorization.

508528020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8510 (or 8508 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 508528020 is about 22550.5658465592. The cubic root of 508528020 is about 798.1875740745.

The spelling of 508528020 in words is "five hundred eight million, five hundred twenty-eight thousand, twenty".