8728101792 has 144 divisors (see below), whose sum is σ = 25328721600. Its totient is φ = 2850287616.

The previous prime is 8728101743. The next prime is 8728101829. The reversal of 8728101792 is 2971018278.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×8728101792² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3838768 + ... + 3841040.

It is an arithmetic number, because the mean of its divisors is an integer number (175893900).

Almost surely, 2^8728101792 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 8728101792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12664360800).

8728101792 is an abundant number, since it is smaller than the sum of its proper divisors (16600619808).

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

8728101792 is a wasteful number, since it uses less digits than its factorization.

8728101792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555 (or 2544 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The square root of 8728101792 is about 93424.3104978570. The cubic root of 8728101792 is about 2058.9221898154.

The spelling of 8728101792 in words is "eight billion, seven hundred twenty-eight million, one hundred one thousand, seven hundred ninety-two".