9846577728 has 336 divisors, whose sum is σ = 31872911616. Its totient is φ = 2995937280.

The previous prime is 9846577723. The next prime is 9846577747. The reversal of 9846577728 is 8277756489.

It is not an unprimeable number, because it can be changed into a prime (9846577723) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22845673 + ... + 22846103.

It is an arithmetic number, because the mean of its divisors is an integer number (94859856).

Almost surely, 2^9846577728 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 9846577728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15936455808).

9846577728 is an abundant number, since it is smaller than the sum of its proper divisors (22026333888).

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

9846577728 is a wasteful number, since it uses less digits than its factorization.

9846577728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 562 counting only the distinct ones).

The product of its digits is 47416320, while the sum is 63.

The square root of 9846577728 is about 99229.9235513159. The cubic root of 9846577728 is about 2143.3599160378.

The spelling of 9846577728 in words is "nine billion, eight hundred forty-six million, five hundred seventy-seven thousand, seven hundred twenty-eight".