1133826288 has 160 divisors (see below), whose sum is σ = 3617625600. Its totient is φ = 304819200.

The previous prime is 1133826229. The next prime is 1133826301. The reversal of 1133826288 is 8826283311.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 277863 + ... + 281913.

It is an arithmetic number, because the mean of its divisors is an integer number (22610160).

Almost surely, 2^1133826288 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 1133826288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808812800).

1133826288 is an abundant number, since it is smaller than the sum of its proper divisors (2483799312).

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

1133826288 is a wasteful number, since it uses less digits than its factorization.

1133826288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4100 (or 4080 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 1133826288 is about 33672.3371330236. The cubic root of 1133826288 is about 1042.7547431683.

The spelling of 1133826288 in words is "one billion, one hundred thirty-three million, eight hundred twenty-six thousand, two hundred eighty-eight".