528100 has 18 divisors (see below), whose sum is σ = 1146194. Its totient is φ = 211200.

The previous prime is 528097. The next prime is 528107. The reversal of 528100 is 1825.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1024 + 527076 = 32^2 + 726^2 .

It is a super-2 number, since 2×528100² = 557779220000, which contains 22 as substring.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (528107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2541 + ... + 2740.

2⁵²⁸¹⁰⁰ is an apocalyptic number.

528100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

528100 is an abundant number, since it is smaller than the sum of its proper divisors (618094).

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

528100 is a wasteful number, since it uses less digits than its factorization.

528100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5295 (or 5288 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 528100 is about 726.7048919610. The cubic root of 528100 is about 80.8299026661.

Adding to 528100 its reverse (1825), we get a palindrome (529925).

The spelling of 528100 in words is "five hundred twenty-eight thousand, one hundred".