11627028 has 144 divisors (see below), whose sum is σ = 36516480. Its totient is φ = 3048192.

The previous prime is 11627009. The next prime is 11627039. The reversal of 11627028 is 82072611.

11627028 is a `hidden beast` number, since 11 + 627 + 0 + 28 = 666.

It is a super-2 number, since 2×11627028² = 270375560225568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11626992 and 11627010.

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, 270375 + ... + 270417.

Almost surely, 2^11627028 is an apocalyptic number.

11627028 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 11627028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18258240).

11627028 is an abundant number, since it is smaller than the sum of its proper divisors (24889452).

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

11627028 is a wasteful number, since it uses less digits than its factorization.

11627028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 121 counting only the distinct ones).

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

The square root of 11627028 is about 3409.8428116264. The cubic root of 11627028 is about 226.5459170391.

Adding to 11627028 its reverse (82072611), we get a palindrome (93699639).

The spelling of 11627028 in words is "eleven million, six hundred twenty-seven thousand, twenty-eight".