9260128800 has 864 divisors, whose sum is σ = 38217553920. Its totient is φ = 2090188800.

The previous prime is 9260128793. The next prime is 9260128847. The reversal of 9260128800 is 88210629.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 72914337 + ... + 72914463.

It is an arithmetic number, because the mean of its divisors is an integer number (44233280).

Almost surely, 2^9260128800 is an apocalyptic number.

9260128800 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 9260128800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19108776960).

9260128800 is an abundant number, since it is smaller than the sum of its proper divisors (28957425120).

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

9260128800 is a wasteful number, since it uses less digits than its factorization.

9260128800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 9260128800 is about 96229.5630250912. The cubic root of 9260128800 is about 2099.9341475949.

The spelling of 9260128800 in words is "nine billion, two hundred sixty million, one hundred twenty-eight thousand, eight hundred".