11428889472 has 1152 divisors, whose sum is σ = 47997593280. Its totient is φ = 2530344960.

The previous prime is 11428889453. The next prime is 11428889513. The reversal of 11428889472 is 27498882411.

11428889472 is a `hidden beast` number, since 1 + 14 + 2 + 88 + 89 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 215639398 + ... + 215639450.

Almost surely, 2^11428889472 is an apocalyptic number.

11428889472 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 11428889472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23998796640).

11428889472 is an abundant number, since it is smaller than the sum of its proper divisors (36568703808).

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

11428889472 is a wasteful number, since it uses less digits than its factorization.

11428889472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 106 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The spelling of 11428889472 in words is "eleven billion, four hundred twenty-eight million, eight hundred eighty-nine thousand, four hundred seventy-two".