968547328 has 132 divisors (see below), whose sum is σ = 2286908400. Its totient is φ = 408748032.

The previous prime is 968547323. The next prime is 968547343. The reversal of 968547328 is 823745869.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968547323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4866973 + ... + 4867171.

Almost surely, 2^968547328 is an apocalyptic number.

968547328 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968547328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143454200).

968547328 is an abundant number, since it is smaller than the sum of its proper divisors (1318361072).

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

968547328 is a wasteful number, since it uses less digits than its factorization.

968547328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 305 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 52.

The square root of 968547328 is about 31121.4930233111. The cubic root of 968547328 is about 989.4038951294.

The spelling of 968547328 in words is "nine hundred sixty-eight million, five hundred forty-seven thousand, three hundred twenty-eight".