11027628 has 72 divisors (see below), whose sum is σ = 30375072. Its totient is φ = 3359232.

The previous prime is 11027617. The next prime is 11027633. The reversal of 11027628 is 82672011.

11027628 is a `hidden beast` number, since 1 + 10 + 27 + 628 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22401 + ... + 22887.

It is an arithmetic number, because the mean of its divisors is an integer number (421876).

Almost surely, 2^11027628 is an apocalyptic number.

11027628 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 11027628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15187536).

11027628 is an abundant number, since it is smaller than the sum of its proper divisors (19347444).

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

11027628 is a wasteful number, since it uses less digits than its factorization.

11027628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 546 counting only the distinct ones).

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

The square root of 11027628 is about 3320.7872560584. The cubic root of 11027628 is about 222.5840476989.

Adding to 11027628 its reverse (82672011), we get a palindrome (93699639).

The spelling of 11027628 in words is "eleven million, twenty-seven thousand, six hundred twenty-eight".