8164149728 has 48 divisors (see below), whose sum is σ = 18411402240. Its totient is φ = 3490909056.

The previous prime is 8164149673. The next prime is 8164149779. The reversal of 8164149728 is 8279414618.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56825 + ... + 139847.

It is an arithmetic number, because the mean of its divisors is an integer number (383570880).

Almost surely, 2^8164149728 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 8164149728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9205701120).

8164149728 is an abundant number, since it is smaller than the sum of its proper divisors (10247252512).

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

8164149728 is a wasteful number, since it uses less digits than its factorization.

8164149728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83479 (or 83471 counting only the distinct ones).

The product of its digits is 774144, while the sum is 50.

The square root of 8164149728 is about 90355.6845361707. The cubic root of 8164149728 is about 2013.5866366483.

The spelling of 8164149728 in words is "eight billion, one hundred sixty-four million, one hundred forty-nine thousand, seven hundred twenty-eight".