512809728 has 72 divisors (see below), whose sum is σ = 1373837808. Its totient is φ = 169807872.

The previous prime is 512809721. The next prime is 512809747. The reversal of 512809728 is 827908215.

It is a self number, because there is not a number n which added to its sum of digits gives 512809728.

It is not an unprimeable number, because it can be changed into a prime (512809721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118450 + ... + 122702.

Almost surely, 2^512809728 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 512809728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686918904).

512809728 is an abundant number, since it is smaller than the sum of its proper divisors (861028080).

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

512809728 is a wasteful number, since it uses less digits than its factorization.

512809728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4429 (or 4415 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 512809728 is about 22645.3025592506. The cubic root of 512809728 is about 800.4215112047.

The spelling of 512809728 in words is "five hundred twelve million, eight hundred nine thousand, seven hundred twenty-eight".