510328 has 32 divisors (see below), whose sum is σ = 1179360. Its totient is φ = 201600.

The previous prime is 510319. The next prime is 510331. The reversal of 510328 is 823015.

510328 = 267² + 268² + ... + 273².

It is a happy number.

510328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 378 + ... + 1078.

It is an arithmetic number, because the mean of its divisors is an integer number (36855).

2⁵¹⁰³²⁸ 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 510328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589680).

510328 is an abundant number, since it is smaller than the sum of its proper divisors (669032).

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

510328 is a wasteful number, since it uses less digits than its factorization.

510328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 510328 is about 714.3724518765. The cubic root of 510328 is about 79.9128217005.

It can be divided in two parts, 51032 and 8, that added together give a triangular number (51040 = T₃₁₉).

The spelling of 510328 in words is "five hundred ten thousand, three hundred twenty-eight".