8128023840 has 384 divisors, whose sum is σ = 29477226240. Its totient is φ = 2090188800.

The previous prime is 8128023823. The next prime is 8128023853. The reversal of 8128023840 is 483208218.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8128023795 and 8128023804.

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 63 ways as a sum of consecutive naturals, for example, 33726120 + ... + 33726360.

It is an arithmetic number, because the mean of its divisors is an integer number (76763610).

Almost surely, 2^8128023840 is an apocalyptic number.

8128023840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8128023840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14738613120).

8128023840 is an abundant number, since it is smaller than the sum of its proper divisors (21349202400).

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

8128023840 is a wasteful number, since it uses less digits than its factorization.

8128023840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 8128023840 is about 90155.5535727001. The cubic root of 8128023840 is about 2010.6122438776.

The spelling of 8128023840 in words is "eight billion, one hundred twenty-eight million, twenty-three thousand, eight hundred forty".