8967728 has 80 divisors (see below), whose sum is σ = 22498560. Its totient is φ = 3360000.

The previous prime is 8967719. The next prime is 8967731. The reversal of 8967728 is 8277698.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35603 + ... + 35853.

It is an arithmetic number, because the mean of its divisors is an integer number (281232).

Almost surely, 2^8967728 is an apocalyptic number.

8967728 is a gapful number since it is divisible by the number (88) 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 8967728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11249280).

8967728 is an abundant number, since it is smaller than the sum of its proper divisors (13530832).

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

8967728 is a wasteful number, since it uses less digits than its factorization.

8967728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 300 counting only the distinct ones).

The product of its digits is 338688, while the sum is 47.

The square root of 8967728 is about 2994.6165029933. The cubic root of 8967728 is about 207.7594605968.

The spelling of 8967728 in words is "eight million, nine hundred sixty-seven thousand, seven hundred twenty-eight".