513535728 has 160 divisors (see below), whose sum is σ = 1468673856. Its totient is φ = 153944064.

The previous prime is 513535727. The next prime is 513535747. The reversal of 513535728 is 827535315.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513535721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2203900 + ... + 2204132.

Almost surely, 2^513535728 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 513535728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734336928).

513535728 is an abundant number, since it is smaller than the sum of its proper divisors (955138128).

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

513535728 is a wasteful number, since it uses less digits than its factorization.

513535728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 365 counting only the distinct ones).

The product of its digits is 126000, while the sum is 39.

The square root of 513535728 is about 22661.3267043216. The cubic root of 513535728 is about 800.7990599466.

The spelling of 513535728 in words is "five hundred thirteen million, five hundred thirty-five thousand, seven hundred twenty-eight".