1132524288 has 288 divisors, whose sum is σ = 3885235200. Its totient is φ = 318726144.

The previous prime is 1132524287. The next prime is 1132524313. The reversal of 1132524288 is 8824252311.

It is a happy number.

1132524288 is a `hidden beast` number, since 11 + 325 + 242 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1132524288² = 2565222525819813888, which contains 22 as substring.

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

Its product of digits (30720) is a multiple of the sum of its prime factors (384).

It is not an unprimeable number, because it can be changed into a prime (1132524287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4306045 + ... + 4306307.

It is an arithmetic number, because the mean of its divisors is an integer number (13490400).

Almost surely, 2^1132524288 is an apocalyptic number.

1132524288 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 1132524288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942617600).

1132524288 is an abundant number, since it is smaller than the sum of its proper divisors (2752710912).

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

1132524288 is an equidigital number, since it uses as much as digits as its factorization.

1132524288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 364 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 1132524288 is about 33652.9982022405. The cubic root of 1132524288 is about 1042.3554501719.

Adding to 1132524288 its reverse (8824252311), we get a palindrome (9956776599).

The spelling of 1132524288 in words is "one billion, one hundred thirty-two million, five hundred twenty-four thousand, two hundred eighty-eight".