8735728 has 40 divisors (see below), whose sum is σ = 17833680. Its totient is φ = 4139520.

The previous prime is 8735711. The next prime is 8735743. The reversal of 8735728 is 8275378.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30948 + ... + 31228.

It is an arithmetic number, because the mean of its divisors is an integer number (445842).

Almost surely, 2^8735728 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 8735728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8916840).

8735728 is an abundant number, since it is smaller than the sum of its proper divisors (9097952).

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

8735728 is a wasteful number, since it uses less digits than its factorization.

8735728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 379 counting only the distinct ones).

The product of its digits is 94080, while the sum is 40.

The square root of 8735728 is about 2955.6264987309. The cubic root of 8735728 is about 205.9521678620.

The spelling of 8735728 in words is "eight million, seven hundred thirty-five thousand, seven hundred twenty-eight".