507782828 has 48 divisors (see below), whose sum is σ = 1076974080. Its totient is φ = 204633216.

The previous prime is 507782813. The next prime is 507782867. The reversal of 507782828 is 828287705.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 69401 + ... + 76367.

It is an arithmetic number, because the mean of its divisors is an integer number (22436960).

Almost surely, 2^507782828 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 507782828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538487040).

507782828 is an abundant number, since it is smaller than the sum of its proper divisors (569191252).

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

507782828 is a wasteful number, since it uses less digits than its factorization.

507782828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7134 (or 7132 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 47.

The square root of 507782828 is about 22534.0370994636. The cubic root of 507782828 is about 797.7974980462.

The spelling of 507782828 in words is "five hundred seven million, seven hundred eighty-two thousand, eight hundred twenty-eight".