11214227628 has 96 divisors (see below), whose sum is σ = 29535851520. Its totient is φ = 3678877440.

The previous prime is 11214227623. The next prime is 11214227659. The reversal of 11214227628 is 82672241211.

11214227628 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 4 + 2 + 27 + 628 = 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 = 11214227592 and 11214227601.

It is not an unprimeable number, because it can be changed into a prime (11214227623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6309876 + ... + 6311652.

It is an arithmetic number, because the mean of its divisors is an integer number (307665120).

Almost surely, 2^11214227628 is an apocalyptic number.

11214227628 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 11214227628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14767925760).

11214227628 is an abundant number, since it is smaller than the sum of its proper divisors (18321623892).

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

11214227628 is a wasteful number, since it uses less digits than its factorization.

11214227628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2684 (or 2676 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

Adding to 11214227628 its reverse (82672241211), we get a palindrome (93886468839).

The spelling of 11214227628 in words is "eleven billion, two hundred fourteen million, two hundred twenty-seven thousand, six hundred twenty-eight".