8968128 has 56 divisors (see below), whose sum is σ = 25560528. Its totient is φ = 2758656.

The previous prime is 8968121. The next prime is 8968139. The reversal of 8968128 is 8218698.

It is a self number, because there is not a number n which added to its sum of digits gives 8968128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8968121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 700 + ... + 4292.

It is an arithmetic number, because the mean of its divisors is an integer number (456438).

Almost surely, 2^8968128 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 8968128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12780264).

8968128 is an abundant number, since it is smaller than the sum of its proper divisors (16592400).

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

8968128 is a wasteful number, since it uses less digits than its factorization.

8968128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3621 (or 3611 counting only the distinct ones).

The product of its digits is 55296, while the sum is 42.

The square root of 8968128 is about 2994.6832887636. The cubic root of 8968128 is about 207.7625495452.

It can be divided in two parts, 8 and 968128, that added together give a triangular number (968136 = T₁₃₉₁).

The spelling of 8968128 in words is "eight million, nine hundred sixty-eight thousand, one hundred twenty-eight".