509628 has 24 divisors (see below), whose sum is σ = 1359232. Its totient is φ = 145584.

The previous prime is 509623. The next prime is 509633. The reversal of 509628 is 826905.

It is an interprime number because it is at equal distance from previous prime (509623) and next prime (509633).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 509595 and 509604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509623) 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, 2950 + ... + 3117.

2⁵⁰⁹⁶²⁸ is an apocalyptic number.

It is an amenable number.

509628 is an abundant number, since it is smaller than the sum of its proper divisors (849604).

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

509628 is a wasteful number, since it uses less digits than its factorization.

509628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6081 (or 6079 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 509628 is about 713.8823432471. The cubic root of 509628 is about 79.8762670590.

The spelling of 509628 in words is "five hundred nine thousand, six hundred twenty-eight".