1138285280 has 144 divisors (see below), whose sum is σ = 3035863152. Its totient is φ = 399974400.

The previous prime is 1138285261. The next prime is 1138285283. The reversal of 1138285280 is 825828311.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138285283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1691024 + ... + 1691696.

It is an arithmetic number, because the mean of its divisors is an integer number (21082383).

Almost surely, 2^1138285280 is an apocalyptic number.

1138285280 is a gapful number since it is divisible by the number (10) 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 1138285280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517931576).

1138285280 is an abundant number, since it is smaller than the sum of its proper divisors (1897577872).

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

1138285280 is a wasteful number, since it uses less digits than its factorization.

1138285280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 38.

The square root of 1138285280 is about 33738.4836648003. The cubic root of 1138285280 is about 1044.1199003037.

The spelling of 1138285280 in words is "one billion, one hundred thirty-eight million, two hundred eighty-five thousand, two hundred eighty".