9947728135488 has 224 divisors, whose sum is σ = 31240220699520. Its totient is φ = 2753894154240.

The previous prime is 9947728135483. The next prime is 9947728135507. The reversal of 9947728135488 is 8845318277499.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9947728135481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 795628 + ... + 4530836.

It is an arithmetic number, because the mean of its divisors is an integer number (139465270980).

Almost surely, 2^{9947728135488} 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 9947728135488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15620110349760).

9947728135488 is an abundant number, since it is smaller than the sum of its proper divisors (21292492564032).

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

9947728135488 is a wasteful number, since it uses less digits than its factorization.

9947728135488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3735345 (or 3735335 counting only the distinct ones).

The product of its digits is 975421440, while the sum is 75.

The spelling of 9947728135488 in words is "nine trillion, nine hundred forty-seven billion, seven hundred twenty-eight million, one hundred thirty-five thousand, four hundred eighty-eight".