8171628544 has 96 divisors (see below), whose sum is σ = 17525289600. Its totient is φ = 3795517440.

The previous prime is 8171628529. The next prime is 8171628557. The reversal of 8171628544 is 4458261718.

It is a super-2 number, since 2×8171628544² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8171628494 and 8171628503.

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 7 ways as a sum of consecutive naturals, for example, 2748979 + ... + 2751949.

It is an arithmetic number, because the mean of its divisors is an integer number (182555100).

Almost surely, 2^8171628544 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 8171628544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8762644800).

8171628544 is an abundant number, since it is smaller than the sum of its proper divisors (9353661056).

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

8171628544 is a wasteful number, since it uses less digits than its factorization.

8171628544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3089 (or 3069 counting only the distinct ones).

The product of its digits is 430080, while the sum is 46.

The square root of 8171628544 is about 90397.0604831816. The cubic root of 8171628544 is about 2014.2013015114.

The spelling of 8171628544 in words is "eight billion, one hundred seventy-one million, six hundred twenty-eight thousand, five hundred forty-four".