1138828768 has 72 divisors (see below), whose sum is σ = 2816550576. Its totient is φ = 443688960.

The previous prime is 1138828763. The next prime is 1138828771. The reversal of 1138828768 is 8678288311.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138828763) 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 11 ways as a sum of consecutive naturals, for example, 6096 + ... + 48112.

It is an arithmetic number, because the mean of its divisors is an integer number (39118758).

Almost surely, 2^1138828768 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 1138828768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408275288).

1138828768 is an abundant number, since it is smaller than the sum of its proper divisors (1677721808).

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

1138828768 is a wasteful number, since it uses less digits than its factorization.

1138828768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42056 (or 42037 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 52.

The square root of 1138828768 is about 33746.5371260519. The cubic root of 1138828768 is about 1044.2860497321.

The spelling of 1138828768 in words is "one billion, one hundred thirty-eight million, eight hundred twenty-eight thousand, seven hundred sixty-eight".