9252016128 has 208 divisors, whose sum is σ = 27600393600. Its totient is φ = 3062661120.

The previous prime is 9252016121. The next prime is 9252016157. The reversal of 9252016128 is 8216102529.

9252016128 is a `hidden beast` number, since 9 + 2 + 520 + 1 + 6 + 128 = 666.

It is a super-2 number, since 2×9252016128² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 9252016092 and 9252016101.

It is not an unprimeable number, because it can be changed into a prime (9252016121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29749093 + ... + 29749403.

It is an arithmetic number, because the mean of its divisors is an integer number (132694200).

Almost surely, 2^9252016128 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 9252016128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13800196800).

9252016128 is an abundant number, since it is smaller than the sum of its proper divisors (18348377472).

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

9252016128 is a wasteful number, since it uses less digits than its factorization.

9252016128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 9252016128 is about 96187.4010876684. The cubic root of 9252016128 is about 2099.3207272427.

The spelling of 9252016128 in words is "nine billion, two hundred fifty-two million, sixteen thousand, one hundred twenty-eight".