509688828 has 96 divisors (see below), whose sum is σ = 1456734720. Its totient is φ = 152824320.

The previous prime is 509688811. The next prime is 509688869. The reversal of 509688828 is 828886905.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113025 + ... + 117447.

It is an arithmetic number, because the mean of its divisors is an integer number (15174320).

Almost surely, 2^509688828 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 509688828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728367360).

509688828 is an abundant number, since it is smaller than the sum of its proper divisors (947045892).

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

509688828 is a wasteful number, since it uses less digits than its factorization.

509688828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4544 (or 4536 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The square root of 509688828 is about 22576.2890661862. The cubic root of 509688828 is about 798.7944488038.

The spelling of 509688828 in words is "five hundred nine million, six hundred eighty-eight thousand, eight hundred twenty-eight".