2808841728 has 480 divisors, whose sum is σ = 10031357952. Its totient is φ = 681246720.

The previous prime is 2808841727. The next prime is 2808841729. The reversal of 2808841728 is 8271488082.

It is an interprime number because it is at equal distance from previous prime (2808841727) and next prime (2808841729).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2808841727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22116801 + ... + 22116927.

Almost surely, 2^2808841728 is an apocalyptic number.

2808841728 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 2808841728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5015678976).

2808841728 is an abundant number, since it is smaller than the sum of its proper divisors (7222516224).

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

2808841728 is a wasteful number, since it uses less digits than its factorization.

2808841728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 48.

The square root of 2808841728 is about 52998.5068468915. The cubic root of 2808841728 is about 1410.9417660880.

The spelling of 2808841728 in words is "two billion, eight hundred eight million, eight hundred forty-one thousand, seven hundred twenty-eight".