11028237120 has 168 divisors, whose sum is σ = 38092334280. Its totient is φ = 2928476160.

The previous prime is 11028237079. The next prime is 11028237139. The reversal of 11028237120 is 2173282011.

11028237120 is a `hidden beast` number, since 1 + 10 + 282 + 371 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 993006144 + 10035230976 = 31512^2 + 100176^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 686136 + ... + 702024.

It is an arithmetic number, because the mean of its divisors is an integer number (226740085).

Almost surely, 2^11028237120 is an apocalyptic number.

11028237120 is a gapful number since it is divisible by the number (10) 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 11028237120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19046167140).

11028237120 is an abundant number, since it is smaller than the sum of its proper divisors (27064097160).

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

11028237120 is a wasteful number, since it uses less digits than its factorization.

11028237120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16153 (or 16140 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 11028237120 in words is "eleven billion, twenty-eight million, two hundred thirty-seven thousand, one hundred twenty".