11428336224 has 288 divisors, whose sum is σ = 36395120160. Its totient is φ = 3485638656.

The previous prime is 11428336193. The next prime is 11428336273. The reversal of 11428336224 is 42263382411.

11428336224 is a `hidden beast` number, since 1 + 1 + 4 + 28 + 3 + 3 + 622 + 4 = 666.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9238134 + ... + 9239370.

It is an arithmetic number, because the mean of its divisors is an integer number (126371945).

Almost surely, 2^11428336224 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 11428336224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18197560080).

11428336224 is an abundant number, since it is smaller than the sum of its proper divisors (24966783936).

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

11428336224 is a wasteful number, since it uses less digits than its factorization.

11428336224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1296 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 11428336224 in words is "eleven billion, four hundred twenty-eight million, three hundred thirty-six thousand, two hundred twenty-four".