11029228327728 has 480 divisors, whose sum is σ = 34669725120576. Its totient is φ = 3374209695744.

The previous prime is 11029228327727. The next prime is 11029228327753. The reversal of 11029228327728 is 82772382292011.

It is a happy number.

11029228327728 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 92 + 283 + 277 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11029228327727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9244951900 + ... + 9244953092.

Almost surely, 2^{11029228327728} is an apocalyptic number.

11029228327728 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 11029228327728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17334862560288).

11029228327728 is an abundant number, since it is smaller than the sum of its proper divisors (23640496792848).

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

11029228327728 is a wasteful number, since it uses less digits than its factorization.

11029228327728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2123 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 11029228327728 in words is "eleven trillion, twenty-nine billion, two hundred twenty-eight million, three hundred twenty-seven thousand, seven hundred twenty-eight".