2789720128 has 112 divisors (see below), whose sum is σ = 6421282560. Its totient is φ = 1190928384.

The previous prime is 2789720123. The next prime is 2789720147. The reversal of 2789720128 is 8210279872.

It is a happy number.

It is a super-3 number, since 3×2789720128³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2789720123) 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 15 ways as a sum of consecutive naturals, for example, 832825 + ... + 836167.

It is an arithmetic number, because the mean of its divisors is an integer number (57332880).

Almost surely, 2^2789720128 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 2789720128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210641280).

2789720128 is an abundant number, since it is smaller than the sum of its proper divisors (3631562432).

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

2789720128 is a wasteful number, since it uses less digits than its factorization.

2789720128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3444 (or 3434 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 46.

The square root of 2789720128 is about 52817.8012416269. The cubic root of 2789720128 is about 1407.7327424042.

The spelling of 2789720128 in words is "two billion, seven hundred eighty-nine million, seven hundred twenty thousand, one hundred twenty-eight".