528096 has 24 divisors (see below), whose sum is σ = 1386504. Its totient is φ = 176000.

The previous prime is 528091. The next prime is 528097. The reversal of 528096 is 690825.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 528096.

It is not an unprimeable number, because it can be changed into a prime (528091) 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 3 ways as a sum of consecutive naturals, for example, 2655 + ... + 2846.

It is an arithmetic number, because the mean of its divisors is an integer number (57771).

2⁵²⁸⁰⁹⁶ is an apocalyptic number.

It is an amenable number.

528096 is an abundant number, since it is smaller than the sum of its proper divisors (858408).

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

528096 is a wasteful number, since it uses less digits than its factorization.

528096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5514 (or 5506 counting only the distinct ones).

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

The square root of 528096 is about 726.7021398070. The cubic root of 528096 is about 80.8296985883.

Subtracting from 528096 its product of nonzero digits (4320), we obtain a triangular number (523776 = T₁₀₂₃).

The spelling of 528096 in words is "five hundred twenty-eight thousand, ninety-six".