1133128368 has 120 divisors (see below), whose sum is σ = 3386747520. Its totient is φ = 352880640.

The previous prime is 1133128361. The next prime is 1133128369. The reversal of 1133128368 is 8638213311.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1133128361) 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, 125080 + ... + 133832.

It is an arithmetic number, because the mean of its divisors is an integer number (28222896).

Almost surely, 2^1133128368 is an apocalyptic number.

1133128368 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 1133128368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693373760).

1133128368 is an abundant number, since it is smaller than the sum of its proper divisors (2253619152).

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

1133128368 is a wasteful number, since it uses less digits than its factorization.

1133128368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8827 (or 8818 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 1133128368 is about 33661.9721347398. The cubic root of 1133128368 is about 1042.5407454357.

The spelling of 1133128368 in words is "one billion, one hundred thirty-three million, one hundred twenty-eight thousand, three hundred sixty-eight".