9775284000 has 192 divisors, whose sum is σ = 32465422080. Its totient is φ = 2570803200.

The previous prime is 9775283993. The next prime is 9775284023. The reversal of 9775284000 is 4825779.

9775284000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 870421 + ... + 881579.

It is an arithmetic number, because the mean of its divisors is an integer number (169090740).

Almost surely, 2^9775284000 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 9775284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16232711040).

9775284000 is an abundant number, since it is smaller than the sum of its proper divisors (22690138080).

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

9775284000 is a wasteful number, since it uses less digits than its factorization.

9775284000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11260 (or 11242 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 9775284000 is about 98870.0359057283. The cubic root of 9775284000 is about 2138.1744118619.

The spelling of 9775284000 in words is "nine billion, seven hundred seventy-five million, two hundred eighty-four thousand".