2789065728 has 198 divisors, whose sum is σ = 8288421726. Its totient is φ = 903266304.

The previous prime is 2789065723. The next prime is 2789065739. The reversal of 2789065728 is 8275609872.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2463335424 + 325730304 = 49632^2 + 18048^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2789065723) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20358076 + ... + 20358212.

Almost surely, 2^2789065728 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 2789065728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4144210863).

2789065728 is an abundant number, since it is smaller than the sum of its proper divisors (5499355998).

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

2789065728 is a wasteful number, since it uses less digits than its factorization.

2789065728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 2789065728 is about 52811.6059971669. The cubic root of 2789065728 is about 1407.6226605913.

The spelling of 2789065728 in words is "two billion, seven hundred eighty-nine million, sixty-five thousand, seven hundred twenty-eight".