11428107264 has 308 divisors, whose sum is σ = 39162941984. Its totient is φ = 3265173504.

The previous prime is 11428107253. The next prime is 11428107269. The reversal of 11428107264 is 46270182411.

It is a happy number.

11428107264 is a `hidden beast` number, since 114 + 281 + 0 + 7 + 264 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11428107269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1632586749 + ... + 1632586755.

Almost surely, 2^11428107264 is an apocalyptic number.

11428107264 is a gapful number since it is divisible by the number (14) 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 11428107264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19581470992).

11428107264 is an abundant number, since it is smaller than the sum of its proper divisors (27734834720).

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

11428107264 is an frugal number, since it uses more digits than its factorization.

11428107264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Multiplying 11428107264 by its product of nonzero digits (21504), we get a square (245750018605056 = 15676416²).

11428107264 divided by its product of nonzero digits (21504) gives a 12-th power (531441 = 3¹²).

Adding to 11428107264 its reverse (46270182411), we get a palindrome (57698289675).

The spelling of 11428107264 in words is "eleven billion, four hundred twenty-eight million, one hundred seven thousand, two hundred sixty-four".