2883648768 has 576 divisors, whose sum is σ = 10724818944. Its totient is φ = 669081600.

The previous prime is 2883648743. The next prime is 2883648787. The reversal of 2883648768 is 8678463882.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93020913 + ... + 93020943.

Almost surely, 2^2883648768 is an apocalyptic number.

2883648768 is a gapful number since it is divisible by the number (28) 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 2883648768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5362409472).

2883648768 is an abundant number, since it is smaller than the sum of its proper divisors (7841170176).

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

2883648768 is a wasteful number, since it uses less digits than its factorization.

2883648768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 67 counting only the distinct ones).

The product of its digits is 24772608, while the sum is 60.

The square root of 2883648768 is about 53699.6160880131. The cubic root of 2883648768 is about 1423.3579144558.

The spelling of 2883648768 in words is "two billion, eight hundred eighty-three million, six hundred forty-eight thousand, seven hundred sixty-eight".