528384 has 52 divisors (see below), whose sum is σ = 1441616. Its totient is φ = 172032.

The previous prime is 528383. The next prime is 528391. The reversal of 528384 is 483825.

Its product of digits (7680) is a multiple of the sum of its prime divisors (48).

It is a plaindrome in base 13.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 528384.

It is not an unprimeable number, because it can be changed into a prime (528383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12267 + ... + 12309.

528384 is a Friedman number, since it can be written as 258*8^3*4, using all its digits and the basic arithmetic operations.

2⁵²⁸³⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 528384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720808).

528384 is an abundant number, since it is smaller than the sum of its proper divisors (913232).

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

528384 is an equidigital number, since it uses as much as digits as its factorization.

528384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 48 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 528384 is about 726.9002682624. The cubic root of 528384 is about 80.8443895553.

The spelling of 528384 in words is "five hundred twenty-eight thousand, three hundred eighty-four".