528612 has 72 divisors (see below), whose sum is σ = 1532160. Its totient is φ = 141120.

The previous prime is 528611. The next prime is 528623. The reversal of 528612 is 216825.

It is a nialpdrome in base 7 and base 14.

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (528611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17037 + ... + 17067.

It is an arithmetic number, because the mean of its divisors is an integer number (21280).

2⁵²⁸⁶¹² 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 528612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766080).

528612 is an abundant number, since it is smaller than the sum of its proper divisors (1003548).

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

528612 is a wasteful number, since it uses less digits than its factorization.

528612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 72 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 528612 is about 727.0570816655. The cubic root of 528612 is about 80.8560161187.

The spelling of 528612 in words is "five hundred twenty-eight thousand, six hundred twelve".