528048 has 60 divisors (see below), whose sum is σ = 1563640. Its totient is φ = 165888.

The previous prime is 528043. The next prime is 528053. The reversal of 528048 is 840825.

528048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (528043) and next prime (528053).

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (528041) by changing a digit.

528048 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 2640 + ... + 2832.

2⁵²⁸⁰⁴⁸ 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 528048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781820).

528048 is an abundant number, since it is smaller than the sum of its proper divisors (1035592).

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

528048 is a wasteful number, since it uses less digits than its factorization.

528048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 528048 is about 726.6691131457. The cubic root of 528048 is about 80.8272495746.

It can be divided in two parts, 52 and 8048, that added together give a square (8100 = 90²).

The spelling of 528048 in words is "five hundred twenty-eight thousand, forty-eight".