528820 has 24 divisors (see below), whose sum is σ = 1124424. Its totient is φ = 208896.

The previous prime is 528811. The next prime is 528821. The reversal of 528820 is 28825.

It can be written as a sum of positive squares in 4 ways, for example, as 27556 + 501264 = 166^2 + 708^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528821) by changing a digit.

528820 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2644 + ... + 2836.

It is an arithmetic number, because the mean of its divisors is an integer number (46851).

2⁵²⁸⁸²⁰ is an apocalyptic number.

It is an amenable number.

528820 is an abundant number, since it is smaller than the sum of its proper divisors (595604).

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

528820 is a wasteful number, since it uses less digits than its factorization.

528820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 528820 is about 727.2001100110. The cubic root of 528820 is about 80.8666198924.

The spelling of 528820 in words is "five hundred twenty-eight thousand, eight hundred twenty".