11128832 has 104 divisors (see below), whose sum is σ = 27521760. Its totient is φ = 4423680.

The previous prime is 11128811. The next prime is 11128853. The reversal of 11128832 is 23882111.

It is an interprime number because it is at equal distance from previous prime (11128811) and next prime (11128853).

It is a tau number, because it is divible by the number of its divisors (104).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 585719 + ... + 585737.

Almost surely, 2^11128832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11128832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13760880).

11128832 is an abundant number, since it is smaller than the sum of its proper divisors (16392928).

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

11128832 is a wasteful number, since it uses less digits than its factorization.

11128832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 45 counting only the distinct ones).

The product of its digits is 768, while the sum is 26.

The square root of 11128832 is about 3335.9904076601. The cubic root of 11128832 is about 223.2628831526.

The spelling of 11128832 in words is "eleven million, one hundred twenty-eight thousand, eight hundred thirty-two".