2789216928 has 144 divisors (see below), whose sum is σ = 8481485376. Its totient is φ = 866396160.

The previous prime is 2789216827. The next prime is 2789216953. The reversal of 2789216928 is 8296129872.

It is a tau number, because it is divible by the number of its divisors (144).

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, 501523 + ... + 507053.

It is an arithmetic number, because the mean of its divisors is an integer number (58899204).

Almost surely, 2^2789216928 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 2789216928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4240742688).

2789216928 is an abundant number, since it is smaller than the sum of its proper divisors (5692268448).

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

2789216928 is a wasteful number, since it uses less digits than its factorization.

2789216928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5667 (or 5656 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 2789216928 is about 52813.0374812887. The cubic root of 2789216928 is about 1407.6480966717.

The spelling of 2789216928 in words is "two billion, seven hundred eighty-nine million, two hundred sixteen thousand, nine hundred twenty-eight".