11140332028728 has 192 divisors, whose sum is σ = 32794390944000. Its totient is φ = 3144013383168.

The previous prime is 11140332028643. The next prime is 11140332028769. The reversal of 11140332028728 is 82782023304111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 11140332028728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 979881028 + ... + 979892396.

It is an arithmetic number, because the mean of its divisors is an integer number (170804119500).

Almost surely, 2^{11140332028728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11140332028728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16397195472000).

11140332028728 is an abundant number, since it is smaller than the sum of its proper divisors (21654058915272).

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

11140332028728 is a wasteful number, since it uses less digits than its factorization.

11140332028728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21514 (or 21503 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 11140332028728 in words is "eleven trillion, one hundred forty billion, three hundred thirty-two million, twenty-eight thousand, seven hundred twenty-eight".