9768528 has 120 divisors (see below), whose sum is σ = 34122816. Its totient is φ = 2534400.

The previous prime is 9768509. The next prime is 9768529. The reversal of 9768528 is 8258679.

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9768529) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10648 + ... + 11528.

Almost surely, 2^9768528 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 9768528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17061408).

9768528 is an abundant number, since it is smaller than the sum of its proper divisors (24354288).

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

9768528 is a wasteful number, since it uses less digits than its factorization.

9768528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 904 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 9768528 is about 3125.4644454865. The cubic root of 9768528 is about 213.7681712263.

It can be divided in two parts, 9768 and 528, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 9768528 in words is "nine million, seven hundred sixty-eight thousand, five hundred twenty-eight".