9100728000 has 896 divisors, whose sum is σ = 41183600640. Its totient is φ = 1916006400.

The previous prime is 9100727969. The next prime is 9100728023. The reversal of 9100728000 is 8270019.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19655769 + ... + 19656231.

It is an arithmetic number, because the mean of its divisors is an integer number (45963840).

Almost surely, 2^9100728000 is an apocalyptic number.

9100728000 is a gapful number since it is divisible by the number (90) 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 9100728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20591800320).

9100728000 is an abundant number, since it is smaller than the sum of its proper divisors (32082872640).

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

9100728000 is a wasteful number, since it uses less digits than its factorization.

9100728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 493 counting only the distinct ones).

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

The square root of 9100728000 is about 95397.7358221881. The cubic root of 9100728000 is about 2087.8151507650.

Adding to 9100728000 its reverse (8270019), we get a palindrome (9108998019).

The spelling of 9100728000 in words is "nine billion, one hundred million, seven hundred twenty-eight thousand".