2838669288 has 128 divisors (see below), whose sum is σ = 8819865600. Its totient is φ = 741332736.

The previous prime is 2838669257. The next prime is 2838669319. The reversal of 2838669288 is 8829668382.

2838669288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2838669257) and next prime (2838669319).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218643 + ... + 231261.

It is an arithmetic number, because the mean of its divisors is an integer number (68905200).

Almost surely, 2^2838669288 is an apocalyptic number.

2838669288 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 2838669288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4409932800).

2838669288 is an abundant number, since it is smaller than the sum of its proper divisors (5981196312).

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

2838669288 is a wasteful number, since it uses less digits than its factorization.

2838669288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12751 (or 12747 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 60.

The square root of 2838669288 is about 53279.1637321758. The cubic root of 2838669288 is about 1415.9185332492.

The spelling of 2838669288 in words is "two billion, eight hundred thirty-eight million, six hundred sixty-nine thousand, two hundred eighty-eight".