8005128192 has 156 divisors (see below), whose sum is σ = 23752097980. Its totient is φ = 2595815424.

The previous prime is 8005128179. The next prime is 8005128193. The reversal of 8005128192 is 2918215008.

It can be written as a sum of positive squares in 2 ways, for example, as 3941830656 + 4063297536 = 62784^2 + 63744^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8005128193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1361034 + ... + 1366902.

Almost surely, 2^8005128192 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 8005128192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11876048990).

8005128192 is an abundant number, since it is smaller than the sum of its proper divisors (15746969788).

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

8005128192 is a wasteful number, since it uses less digits than its factorization.

8005128192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5936 (or 5911 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 8005128192 is about 89471.3819721144. The cubic root of 8005128192 is about 2000.4272580521.

The spelling of 8005128192 in words is "eight billion, five million, one hundred twenty-eight thousand, one hundred ninety-two".