515328 has 72 divisors (see below), whose sum is σ = 1520736. Its totient is φ = 153600.

The previous prime is 515323. The next prime is 515351. The reversal of 515328 is 823515.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 515298 and 515307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (515323) 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, 8418 + ... + 8478.

2⁵¹⁵³²⁸ 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 515328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760368).

515328 is an abundant number, since it is smaller than the sum of its proper divisors (1005408).

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

515328 is a wasteful number, since it uses less digits than its factorization.

515328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 77 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 515328 is about 717.8634967736. The cubic root of 515328 is about 80.1729591281.

The spelling of 515328 in words is "five hundred fifteen thousand, three hundred twenty-eight".