528200 has 48 divisors (see below), whose sum is σ = 1302000. Its totient is φ = 198720.

The previous prime is 528197. The next prime is 528217. The reversal of 528200 is 2825.

It is a happy number.

528200 is nontrivially palindromic in base 3 and base 9.

It is an Ulam number.

It is a zygodrome in base 3 and base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 528200.

It is an unprimeable 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 11 ways as a sum of consecutive naturals, for example, 3731 + ... + 3869.

It is an arithmetic number, because the mean of its divisors is an integer number (27125).

2⁵²⁸²⁰⁰ is an apocalyptic number.

528200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 528200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651000).

528200 is an abundant number, since it is smaller than the sum of its proper divisors (773800).

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

528200 is a wasteful number, since it uses less digits than its factorization.

528200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 528200 is about 726.7736924243. The cubic root of 528200 is about 80.8350042758.

The spelling of 528200 in words is "five hundred twenty-eight thousand, two hundred".