528880 has 40 divisors (see below), whose sum is σ = 1343664. Its totient is φ = 192000.

The previous prime is 528877. The next prime is 528881. The reversal of 528880 is 88825.

It is a tau number, because it is divible by the number of its divisors (40).

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 (528881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 580 + ... + 1180.

2⁵²⁸⁸⁸⁰ 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 528880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671832).

528880 is an abundant number, since it is smaller than the sum of its proper divisors (814784).

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

528880 is a wasteful number, since it uses less digits than its factorization.

528880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 31.

The square root of 528880 is about 727.2413629601. The cubic root of 528880 is about 80.8696781565.

It can be divided in two parts, 5 and 28880, that multiplied together give a square (144400 = 380²).

The spelling of 528880 in words is "five hundred twenty-eight thousand, eight hundred eighty".