528864 has 48 divisors (see below), whose sum is σ = 1588608. Its totient is φ = 150912.

The previous prime is 528863. The next prime is 528877. The reversal of 528864 is 468825.

It is a tau number, because it is divible by the number of its divisors (48).

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 (528863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 279 + ... + 1065.

It is an arithmetic number, because the mean of its divisors is an integer number (33096).

2⁵²⁸⁸⁶⁴ 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 528864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794304).

528864 is an abundant number, since it is smaller than the sum of its proper divisors (1059744).

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

528864 is a wasteful number, since it uses less digits than its factorization.

528864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 799 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 528864 is about 727.2303624025. The cubic root of 528864 is about 80.8688626420.

The spelling of 528864 in words is "five hundred twenty-eight thousand, eight hundred sixty-four".