1133338752 has 384 divisors, whose sum is σ = 4232592000. Its totient is φ = 282673152.

The previous prime is 1133338741. The next prime is 1133338783. The reversal of 1133338752 is 2578333311.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1991524 + ... + 1992092.

It is an arithmetic number, because the mean of its divisors is an integer number (11022375).

Almost surely, 2^1133338752 is an apocalyptic number.

1133338752 is a gapful number since it is divisible by the number (12) 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 1133338752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116296000).

1133338752 is an abundant number, since it is smaller than the sum of its proper divisors (3099253248).

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

1133338752 is a wasteful number, since it uses less digits than its factorization.

1133338752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 613 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 1133338752 is about 33665.0969403030. The cubic root of 1133338752 is about 1042.6052630801.

The spelling of 1133338752 in words is "one billion, one hundred thirty-three million, three hundred thirty-eight thousand, seven hundred fifty-two".