9845992728 has 144 divisors (see below), whose sum is σ = 31500719640. Its totient is φ = 2754086400.

The previous prime is 9845992699. The next prime is 9845992757. The reversal of 9845992728 is 8272995489.

It is a happy number.

9845992728 is a `hidden beast` number, since 98 + 459 + 92 + 7 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (9845992699) and next prime (9845992757).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 97068 + ... + 170628.

Almost surely, 2^9845992728 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 9845992728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15750359820).

9845992728 is an abundant number, since it is smaller than the sum of its proper divisors (21654726912).

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

9845992728 is a wasteful number, since it uses less digits than its factorization.

9845992728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73610 (or 73590 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The square root of 9845992728 is about 99226.9758079929. The cubic root of 9845992728 is about 2143.3174684512.

The spelling of 9845992728 in words is "nine billion, eight hundred forty-five million, nine hundred ninety-two thousand, seven hundred twenty-eight".