509977728 has 128 divisors (see below), whose sum is σ = 1621065600. Its totient is φ = 156902400.

The previous prime is 509977723. The next prime is 509977739. The reversal of 509977728 is 827779905.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (509977723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39253 + ... + 50603.

It is an arithmetic number, because the mean of its divisors is an integer number (12664575).

Almost surely, 2^509977728 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 509977728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810532800).

509977728 is an abundant number, since it is smaller than the sum of its proper divisors (1111087872).

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

509977728 is a wasteful number, since it uses less digits than its factorization.

509977728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11387 (or 11369 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The square root of 509977728 is about 22582.6864655204. The cubic root of 509977728 is about 798.9453435691.

The spelling of 509977728 in words is "five hundred nine million, nine hundred seventy-seven thousand, seven hundred twenty-eight".