968778528 has 96 divisors (see below), whose sum is σ = 2609470080. Its totient is φ = 314603520.

The previous prime is 968778497. The next prime is 968778529. The reversal of 968778528 is 825877869.

968778528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (968778529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 605826 + ... + 607422.

It is an arithmetic number, because the mean of its divisors is an integer number (27181980).

Almost surely, 2^968778528 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 968778528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304735040).

968778528 is an abundant number, since it is smaller than the sum of its proper divisors (1640691552).

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

968778528 is a wasteful number, since it uses less digits than its factorization.

968778528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 1762 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 60.

The square root of 968778528 is about 31125.2072764183. The cubic root of 968778528 is about 989.4826150759.

The spelling of 968778528 in words is "nine hundred sixty-eight million, seven hundred seventy-eight thousand, five hundred twenty-eight".