11287675728 has 80 divisors (see below), whose sum is σ = 37028364160. Its totient is φ = 3225049344.

The previous prime is 11287675723. The next prime is 11287675807. The reversal of 11287675728 is 82757678211.

11287675728 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 7 + 67 + 572 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11287675723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1863325 + ... + 1869372.

It is an arithmetic number, because the mean of its divisors is an integer number (462854552).

Almost surely, 2^11287675728 is an apocalyptic number.

11287675728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11287675728 is an abundant number, since it is smaller than the sum of its proper divisors (25740688432).

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

11287675728 is a wasteful number, since it uses less digits than its factorization.

11287675728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3732721 (or 3732709 counting only the distinct ones).

The product of its digits is 2634240, while the sum is 54.

The spelling of 11287675728 in words is "eleven billion, two hundred eighty-seven million, six hundred seventy-five thousand, seven hundred twenty-eight".