9100728 has 128 divisors (see below), whose sum is σ = 31180800. Its totient is φ = 2395008.

The previous prime is 9100727. The next prime is 9100733. The reversal of 9100728 is 8270019.

9100728 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9100727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19425 + ... + 19887.

It is an arithmetic number, because the mean of its divisors is an integer number (243600).

Almost surely, 2^9100728 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 9100728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15590400).

9100728 is an abundant number, since it is smaller than the sum of its proper divisors (22080072).

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

9100728 is a wasteful number, since it uses less digits than its factorization.

9100728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 9100728 is about 3016.7412882115. The cubic root of 9100728 is about 208.7815150765.

The spelling of 9100728 in words is "nine million, one hundred thousand, seven hundred twenty-eight".