11352788928 has 336 divisors, whose sum is σ = 36649188576. Its totient is φ = 3463741440.

The previous prime is 11352788911. The next prime is 11352788929. The reversal of 11352788928 is 82988725311.

11352788928 is a `hidden beast` number, since 1 + 13 + 527 + 8 + 89 + 28 = 666.

11352788928 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11352788929) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 47106888 + ... + 47107128.

It is an arithmetic number, because the mean of its divisors is an integer number (109074966).

Almost surely, 2^11352788928 is an apocalyptic number.

11352788928 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 11352788928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18324594288).

11352788928 is an abundant number, since it is smaller than the sum of its proper divisors (25296399648).

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

11352788928 is a wasteful number, since it uses less digits than its factorization.

11352788928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 492 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The spelling of 11352788928 in words is "eleven billion, three hundred fifty-two million, seven hundred eighty-eight thousand, nine hundred twenty-eight".