9091628928720 has 960 divisors, whose sum is σ = 34698761994240. Its totient is φ = 2186431543296.

The previous prime is 9091628928691. The next prime is 9091628928761. The reversal of 9091628928720 is 278298261909.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3106123897 + ... + 3106126823.

It is an arithmetic number, because the mean of its divisors is an integer number (36144543744).

Almost surely, 2^{9091628928720} is an apocalyptic number.

9091628928720 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 9091628928720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17349380997120).

9091628928720 is an abundant number, since it is smaller than the sum of its proper divisors (25607133065520).

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

9091628928720 is a wasteful number, since it uses less digits than its factorization.

9091628928720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3169 (or 3144 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 9091628928720 in words is "nine trillion, ninety-one billion, six hundred twenty-eight million, nine hundred twenty-eight thousand, seven hundred twenty".