11945287728 has 400 divisors, whose sum is σ = 41690474496. Its totient is φ = 3257210880.

The previous prime is 11945287709. The next prime is 11945287741. The reversal of 11945287728 is 82778254911.

11945287728 is a `hidden beast` number, since 1 + 1 + 94 + 528 + 7 + 7 + 28 = 666.

11945287728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5573025 + ... + 5575167.

Almost surely, 2^11945287728 is an apocalyptic number.

11945287728 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 11945287728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20845237248).

11945287728 is an abundant number, since it is smaller than the sum of its proper divisors (29745186768).

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

11945287728 is a wasteful number, since it uses less digits than its factorization.

11945287728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 2199 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 54.

The spelling of 11945287728 in words is "eleven billion, nine hundred forty-five million, two hundred eighty-seven thousand, seven hundred twenty-eight".