8956728 has 96 divisors (see below), whose sum is σ = 27181440. Its totient is φ = 2640960.

The previous prime is 8956723. The next prime is 8956757. The reversal of 8956728 is 8276598.

8956728 is a `hidden beast` number, since 89 + 567 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8956723) 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, 33925 + ... + 34187.

It is an arithmetic number, because the mean of its divisors is an integer number (283140).

Almost surely, 2^8956728 is an apocalyptic number.

8956728 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 8956728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13590720).

8956728 is an abundant number, since it is smaller than the sum of its proper divisors (18224712).

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

8956728 is a wasteful number, since it uses less digits than its factorization.

8956728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 322 counting only the distinct ones).

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

The square root of 8956728 is about 2992.7793102733. The cubic root of 8956728 is about 207.6744784948.

The spelling of 8956728 in words is "eight million, nine hundred fifty-six thousand, seven hundred twenty-eight".