11403721728 has 264 divisors, whose sum is σ = 39031737472. Its totient is φ = 3257708544.

The previous prime is 11403721723. The next prime is 11403721757. The reversal of 11403721728 is 82712730411.

11403721728 is a `hidden beast` number, since 11 + 403 + 7 + 217 + 28 = 666.

11403721728 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 11403721692 and 11403721701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11403721723) 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 23 ways as a sum of consecutive naturals, for example, 1738551 + ... + 1745097.

Almost surely, 2^11403721728 is an apocalyptic number.

11403721728 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 11403721728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19515868736).

11403721728 is an abundant number, since it is smaller than the sum of its proper divisors (27628015744).

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

11403721728 is an frugal number, since it uses more digits than its factorization.

11403721728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6589 (or 6559 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 11403721728 in words is "eleven billion, four hundred three million, seven hundred twenty-one thousand, seven hundred twenty-eight".