528648 has 16 divisors (see below), whose sum is σ = 1321680. Its totient is φ = 176208.

The previous prime is 528631. The next prime is 528659. The reversal of 528648 is 846825.

528648 is a modest number, since divided by 648 gives 528 as remainder.

It is a zygodrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 528648.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10990 + ... + 11037.

It is an arithmetic number, because the mean of its divisors is an integer number (82605).

2⁵²⁸⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

528648 is an abundant number, since it is smaller than the sum of its proper divisors (793032).

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

528648 is a wasteful number, since it uses less digits than its factorization.

528648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22036 (or 22032 counting only the distinct ones).

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

The square root of 528648 is about 727.0818385849. The cubic root of 528648 is about 80.8578515863.

It can be divided in two parts, 528 and 648, that added together give a triangular number (1176 = T₄₈).

The spelling of 528648 in words is "five hundred twenty-eight thousand, six hundred forty-eight".