528309 has 16 divisors (see below), whose sum is σ = 829440. Its totient is φ = 331200.

The previous prime is 528299. The next prime is 528313. The reversal of 528309 is 903825.

528309 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 528309 - 2⁸ = 528053 is a prime.

It is a super-2 number, since 2×528309² = 558220798962, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117 + ... + 1034.

It is an arithmetic number, because the mean of its divisors is an integer number (51840).

2⁵²⁸³⁰⁹ is an apocalyptic number.

It is an amenable number.

528309 is a deficient number, since it is larger than the sum of its proper divisors (301131).

528309 is a wasteful number, since it uses less digits than its factorization.

528309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 528309 is about 726.8486775114. The cubic root of 528309 is about 80.8405642969.

The spelling of 528309 in words is "five hundred twenty-eight thousand, three hundred nine".