9828771960 has 256 divisors, whose sum is σ = 35184844800. Its totient is φ = 2149171200.

The previous prime is 9828771943. The next prime is 9828771961. The reversal of 9828771960 is 691778289.

It is a self number, because there is not a number n which added to its sum of digits gives 9828771960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9828771961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2315440 + ... + 2319680.

It is an arithmetic number, because the mean of its divisors is an integer number (137440800).

Almost surely, 2^9828771960 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 9828771960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17592422400).

9828771960 is an abundant number, since it is smaller than the sum of its proper divisors (25356072840).

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

9828771960 is a wasteful number, since it uses less digits than its factorization.

9828771960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4382 (or 4378 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 57.

The square root of 9828771960 is about 99140.1632034162. The cubic root of 9828771960 is about 2142.0671759627.

The spelling of 9828771960 in words is "nine billion, eight hundred twenty-eight million, seven hundred seventy-one thousand, nine hundred sixty".