8249923728 has 120 divisors (see below), whose sum is σ = 25360370880. Its totient is φ = 2491948800.

The previous prime is 8249923699. The next prime is 8249923753. The reversal of 8249923728 is 8273299428.

It is a happy number.

8249923728 is a `hidden beast` number, since 82 + 499 + 2 + 3 + 72 + 8 = 666.

It is a super-2 number, since 2×8249923728² (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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2623 + ... + 128478.

It is an arithmetic number, because the mean of its divisors is an integer number (211336424).

Almost surely, 2^8249923728 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 8249923728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12680185440).

8249923728 is an abundant number, since it is smaller than the sum of its proper divisors (17110447152).

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

8249923728 is a wasteful number, since it uses less digits than its factorization.

8249923728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131157 (or 131148 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 8249923728 is about 90829.0907584129. The cubic root of 8249923728 is about 2020.6137833533.

The spelling of 8249923728 in words is "eight billion, two hundred forty-nine million, nine hundred twenty-three thousand, seven hundred twenty-eight".