11011112028 has 288 divisors, whose sum is σ = 35821900800. Its totient is φ = 2906668800.

The previous prime is 11011111999. The next prime is 11011112029. The reversal of 11011112028 is 82021111011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 11011112028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011112029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4121133 + ... + 4123803.

It is an arithmetic number, because the mean of its divisors is an integer number (124381600).

Almost surely, 2^11011112028 is an apocalyptic number.

11011112028 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 11011112028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17910950400).

11011112028 is an abundant number, since it is smaller than the sum of its proper divisors (24810788772).

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

11011112028 is a wasteful number, since it uses less digits than its factorization.

11011112028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2758 (or 2743 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 11011112028 its reverse (82021111011), we get a palindrome (93032223039).

The spelling of 11011112028 in words is "eleven billion, eleven million, one hundred twelve thousand, twenty-eight".