9057628160 has 416 divisors, whose sum is σ = 26949307392. Its totient is φ = 2854748160.

The previous prime is 9057628141. The next prime is 9057628193. The reversal of 9057628160 is 618267509.

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 31 ways as a sum of consecutive naturals, for example, 135188447 + ... + 135188513.

Almost surely, 2^9057628160 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 9057628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13474653696).

9057628160 is an abundant number, since it is smaller than the sum of its proper divisors (17891679232).

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

9057628160 is a wasteful number, since it uses less digits than its factorization.

9057628160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 44.

The square root of 9057628160 is about 95171.5722261643. The cubic root of 9057628160 is about 2084.5140622725.

The spelling of 9057628160 in words is "nine billion, fifty-seven million, six hundred twenty-eight thousand, one hundred sixty".