2838872232 has 288 divisors, whose sum is σ = 9694468800. Its totient is φ = 767382336.

The previous prime is 2838872227. The next prime is 2838872291. The reversal of 2838872232 is 2322788382.

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

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 3820453 + ... + 3821195.

It is an arithmetic number, because the mean of its divisors is an integer number (33661350).

Almost surely, 2^2838872232 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 2838872232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4847234400).

2838872232 is an abundant number, since it is smaller than the sum of its proper divisors (6855596568).

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

2838872232 is a wasteful number, since it uses less digits than its factorization.

2838872232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 774 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 2838872232 is about 53281.0682325345. The cubic root of 2838872232 is about 1415.9522750361.

The spelling of 2838872232 in words is "two billion, eight hundred thirty-eight million, eight hundred seventy-two thousand, two hundred thirty-two".