1138027968 has 280 divisors, whose sum is σ = 4207361664. Its totient is φ = 295488000.

The previous prime is 1138027963. The next prime is 1138027987. The reversal of 1138027968 is 8697208311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138027963) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 397743 + ... + 400593.

Almost surely, 2^1138027968 is an apocalyptic number.

1138027968 is a gapful number since it is divisible by the number (18) 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 1138027968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103680832).

1138027968 is an abundant number, since it is smaller than the sum of its proper divisors (3069333696).

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

1138027968 is a wasteful number, since it uses less digits than its factorization.

1138027968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2893 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1138027968 is about 33734.6701184405. The cubic root of 1138027968 is about 1044.0412191415.

The spelling of 1138027968 in words is "one billion, one hundred thirty-eight million, twenty-seven thousand, nine hundred sixty-eight".