8123707728 has 160 divisors (see below), whose sum is σ = 24370662400. Its totient is φ = 2620200960.

The previous prime is 8123707717. The next prime is 8123707729. The reversal of 8123707728 is 8277073218.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8123707729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1081008 + ... + 1088496.

It is an arithmetic number, because the mean of its divisors is an integer number (152316640).

Almost surely, 2^8123707728 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 8123707728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12185331200).

8123707728 is an abundant number, since it is smaller than the sum of its proper divisors (16246954672).

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

8123707728 is an equidigital number, since it uses as much as digits as its factorization.

8123707728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7549 (or 7525 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 8123707728 is about 90131.6133662324. The cubic root of 8123707728 is about 2010.2562916677.

The spelling of 8123707728 in words is "eight billion, one hundred twenty-three million, seven hundred seven thousand, seven hundred twenty-eight".