11832784128 has 288 divisors, whose sum is σ = 40186675200. Its totient is φ = 3396556800.

The previous prime is 11832784127. The next prime is 11832784133. The reversal of 11832784128 is 82148723811.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11832784127) by changing a digit.

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, 1440513 + ... + 1448703.

Almost surely, 2^11832784128 is an apocalyptic number.

11832784128 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 11832784128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20093337600).

11832784128 is an abundant number, since it is smaller than the sum of its proper divisors (28353891072).

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

11832784128 is a wasteful number, since it uses less digits than its factorization.

11832784128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8246 (or 8226 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The spelling of 11832784128 in words is "eleven billion, eight hundred thirty-two million, seven hundred eighty-four thousand, one hundred twenty-eight".