528960 has 112 divisors (see below), whose sum is σ = 1828800. Its totient is φ = 129024.

The previous prime is 528947. The next prime is 528967. The reversal of 528960 is 69825.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (528967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18226 + ... + 18254.

2⁵²⁸⁹⁶⁰ 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 528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914400).

528960 is an abundant number, since it is smaller than the sum of its proper divisors (1299840).

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

528960 is a wasteful number, since it uses less digits than its factorization.

528960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 528960 is about 727.2963632523. The cubic root of 528960 is about 80.8737554822.

The spelling of 528960 in words is "five hundred twenty-eight thousand, nine hundred sixty".