2782828056 has 64 divisors (see below), whose sum is σ = 7375380480. Its totient is φ = 871969280.

The previous prime is 2782828051. The next prime is 2782828099. The reversal of 2782828056 is 6508282872.

2782828056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2782827996 and 2782828014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2782828051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367945 + ... + 375431.

It is an arithmetic number, because the mean of its divisors is an integer number (115240320).

Almost surely, 2^2782828056 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 2782828056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3687690240).

2782828056 is an abundant number, since it is smaller than the sum of its proper divisors (4592552424).

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

2782828056 is a wasteful number, since it uses less digits than its factorization.

2782828056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8424 (or 8420 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The square root of 2782828056 is about 52752.5170584305. The cubic root of 2782828056 is about 1406.5725069931.

The spelling of 2782828056 in words is "two billion, seven hundred eighty-two million, eight hundred twenty-eight thousand, fifty-six".