11128608 has 72 divisors (see below), whose sum is σ = 33523308. Its totient is φ = 3489792.

The previous prime is 11128583. The next prime is 11128627. The reversal of 11128608 is 80682111.

It can be written as a sum of positive squares in 2 ways, for example, as 9659664 + 1468944 = 3108^2 + 1212^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3760 + ... + 6032.

Almost surely, 2^11128608 is an apocalyptic number.

11128608 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 11128608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16761654).

11128608 is an abundant number, since it is smaller than the sum of its proper divisors (22394700).

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

11128608 is a wasteful number, since it uses less digits than its factorization.

11128608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306 (or 2295 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 11128608 is about 3335.9568342531. The cubic root of 11128608 is about 223.2613852050.

The spelling of 11128608 in words is "eleven million, one hundred twenty-eight thousand, six hundred eight".