515928 has 64 divisors (see below), whose sum is σ = 1532160. Its totient is φ = 141696.

The previous prime is 515923. The next prime is 515929. The reversal of 515928 is 829515.

It is a junction number, because it is equal to n+sod(n) for n = 515895 and 515904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (515923) by changing a digit.

515928 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 6175 + ... + 6257.

It is an arithmetic number, because the mean of its divisors is an integer number (23940).

2⁵¹⁵⁹²⁸ 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 515928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766080).

515928 is an abundant number, since it is smaller than the sum of its proper divisors (1016232).

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

515928 is a wasteful number, since it uses less digits than its factorization.

515928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 132 counting only the distinct ones).

The product of its digits is 3600, while the sum is 30.

The square root of 515928 is about 718.2812819502. The cubic root of 515928 is about 80.2040623726.

The spelling of 515928 in words is "five hundred fifteen thousand, nine hundred twenty-eight".