9869977728 has 192 divisors, whose sum is σ = 32197401600. Its totient is φ = 2876995584.

The previous prime is 9869977681. The next prime is 9869977751. The reversal of 9869977728 is 8277799689.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 267201 + ... + 301887.

It is an arithmetic number, because the mean of its divisors is an integer number (167694800).

Almost surely, 2^9869977728 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 9869977728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16098700800).

9869977728 is an abundant number, since it is smaller than the sum of its proper divisors (22327423872).

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

9869977728 is a wasteful number, since it uses less digits than its factorization.

9869977728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34739 (or 34724 counting only the distinct ones).

The product of its digits is 192036096, while the sum is 72.

The square root of 9869977728 is about 99347.7615651203. The cubic root of 9869977728 is about 2145.0564426767.

The spelling of 9869977728 in words is "nine billion, eight hundred sixty-nine million, nine hundred seventy-seven thousand, seven hundred twenty-eight".