508628736 has 432 divisors, whose sum is σ = 1897878528. Its totient is φ = 127180800.

The previous prime is 508628723. The next prime is 508628737. The reversal of 508628736 is 637826805.

508628736 is a `hidden beast` number, since 508 + 62 + 87 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 508628691 and 508628700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508628737) 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 47 ways as a sum of consecutive naturals, for example, 8338146 + ... + 8338206.

Almost surely, 2^508628736 is an apocalyptic number.

508628736 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 508628736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948939264).

508628736 is an abundant number, since it is smaller than the sum of its proper divisors (1389249792).

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

508628736 is a wasteful number, since it uses less digits than its factorization.

508628736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 508628736 is about 22552.7988506970. The cubic root of 508628736 is about 798.2402653389.

The spelling of 508628736 in words is "five hundred eight million, six hundred twenty-eight thousand, seven hundred thirty-six".