9785052288 has 768 divisors, whose sum is σ = 35815219200. Its totient is φ = 2600294400.

The previous prime is 9785052241. The next prime is 9785052289. The reversal of 9785052288 is 8822505879.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (9785052289) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 315646833 + ... + 315646863.

It is an arithmetic number, because the mean of its divisors is an integer number (46634400).

Almost surely, 2^9785052288 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 9785052288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17907609600).

9785052288 is an abundant number, since it is smaller than the sum of its proper divisors (26030166912).

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

9785052288 is a wasteful number, since it uses less digits than its factorization.

9785052288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The square root of 9785052288 is about 98919.4232089937. The cubic root of 9785052288 is about 2138.8863894777.

The spelling of 9785052288 in words is "nine billion, seven hundred eighty-five million, fifty-two thousand, two hundred eighty-eight".