528984 has 64 divisors (see below), whose sum is σ = 1536000. Its totient is φ = 168480.

The previous prime is 528973. The next prime is 528991. The reversal of 528984 is 489825.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 528984.

It is an unprimeable number.

528984 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, 6657 + ... + 6735.

It is an arithmetic number, because the mean of its divisors is an integer number (24000).

2⁵²⁸⁹⁸⁴ is an apocalyptic number.

528984 is a gapful number since it is divisible by the number (54) 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 528984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768000).

528984 is an abundant number, since it is smaller than the sum of its proper divisors (1007016).

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

528984 is a wasteful number, since it uses less digits than its factorization.

528984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 115 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 528984 is about 727.3128625289. The cubic root of 528984 is about 80.8749785998.

The spelling of 528984 in words is "five hundred twenty-eight thousand, nine hundred eighty-four".