11003473728 has 336 divisors, whose sum is σ = 35921289600. Its totient is φ = 3299512320.

The previous prime is 11003473643. The next prime is 11003473739. The reversal of 11003473728 is 82737430011.

11003473728 is a `hidden beast` number, since 110 + 0 + 3 + 473 + 72 + 8 = 666.

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 = 11003473692 and 11003473701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11972853 + ... + 11973771.

It is an arithmetic number, because the mean of its divisors is an integer number (106908600).

Almost surely, 2^11003473728 is an apocalyptic number.

11003473728 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 11003473728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17960644800).

11003473728 is an abundant number, since it is smaller than the sum of its proper divisors (24917815872).

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

11003473728 is a wasteful number, since it uses less digits than its factorization.

11003473728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 11003473728 in words is "eleven billion, three million, four hundred seventy-three thousand, seven hundred twenty-eight".