8023728820 has 48 divisors (see below), whose sum is σ = 16943184720. Its totient is φ = 3191760896.

The previous prime is 8023728767. The next prime is 8023728829. The reversal of 8023728820 is 288273208.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1490886544 + 6532842276 = 38612^2 + 80826^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8023728829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3473826 + ... + 3476134.

It is an arithmetic number, because the mean of its divisors is an integer number (352983015).

Almost surely, 2^8023728820 is an apocalyptic number.

It is an amenable number.

8023728820 is an abundant number, since it is smaller than the sum of its proper divisors (8919455900).

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

8023728820 is a wasteful number, since it uses less digits than its factorization.

8023728820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3204 (or 3202 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 8023728820 is about 89575.2690199700. The cubic root of 8023728820 is about 2001.9754498232.

The spelling of 8023728820 in words is "eight billion, twenty-three million, seven hundred twenty-eight thousand, eight hundred twenty".