2688769728 has 168 divisors, whose sum is σ = 8092488768. Its totient is φ = 885033216.

The previous prime is 2688769703. The next prime is 2688769739. The reversal of 2688769728 is 8279678862.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1289775 + ... + 1291857.

It is an arithmetic number, because the mean of its divisors is an integer number (48169576).

Almost surely, 2^2688769728 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 2688769728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4046244384).

2688769728 is an abundant number, since it is smaller than the sum of its proper divisors (5403719040).

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

2688769728 is an equidigital number, since it uses as much as digits as its factorization.

2688769728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2193 (or 2171 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The square root of 2688769728 is about 51853.3482814755. The cubic root of 2688769728 is about 1390.5433632961.

The spelling of 2688769728 in words is "two billion, six hundred eighty-eight million, seven hundred sixty-nine thousand, seven hundred twenty-eight".