528500 has 48 divisors (see below), whose sum is σ = 1327872. Its totient is φ = 180000.

The previous prime is 528491. The next prime is 528509. The reversal of 528500 is 5825.

It is an interprime number because it is at equal distance from previous prime (528491) and next prime (528509).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 (528509) by changing a digit.

528500 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3425 + ... + 3575.

It is an arithmetic number, because the mean of its divisors is an integer number (27664).

2⁵²⁸⁵⁰⁰ is an apocalyptic number.

528500 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 528500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663936).

528500 is an abundant number, since it is smaller than the sum of its proper divisors (799372).

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

528500 is a wasteful number, since it uses less digits than its factorization.

528500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 528500 is about 726.9800547470. The cubic root of 528500 is about 80.8503052423.

The spelling of 528500 in words is "five hundred twenty-eight thousand, five hundred".