2828637888 has 224 divisors, whose sum is σ = 8479779840. Its totient is φ = 827228160.

The previous prime is 2828637881. The next prime is 2828637919. The reversal of 2828637888 is 8887368282.

It is not an unprimeable number, because it can be changed into a prime (2828637881) 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 31 ways as a sum of consecutive naturals, for example, 3077493 + ... + 3078411.

It is an arithmetic number, because the mean of its divisors is an integer number (37856160).

Almost surely, 2^2828637888 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 2828637888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4239889920).

2828637888 is an abundant number, since it is smaller than the sum of its proper divisors (5651141952).

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

2828637888 is a wasteful number, since it uses less digits than its factorization.

2828637888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1005 counting only the distinct ones).

The product of its digits is 16515072, while the sum is 60.

The square root of 2828637888 is about 53184.9404248985. The cubic root of 2828637888 is about 1414.2486887096.

The spelling of 2828637888 in words is "two billion, eight hundred twenty-eight million, six hundred thirty-seven thousand, eight hundred eighty-eight".