9871728096 has 384 divisors, whose sum is σ = 29774739456. Its totient is φ = 2848849920.

The previous prime is 9871728073. The next prime is 9871728109. The reversal of 9871728096 is 6908271789.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135229116 + ... + 135229188.

It is an arithmetic number, because the mean of its divisors is an integer number (77538384).

Almost surely, 2^9871728096 is an apocalyptic number.

9871728096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9871728096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14887369728).

9871728096 is an abundant number, since it is smaller than the sum of its proper divisors (19903011360).

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

9871728096 is a wasteful number, since it uses less digits than its factorization.

9871728096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 226 counting only the distinct ones).

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

The square root of 9871728096 is about 99356.5704722139. The cubic root of 9871728096 is about 2145.1832385124.

The spelling of 9871728096 in words is "nine billion, eight hundred seventy-one million, seven hundred twenty-eight thousand, ninety-six".