11128428 has 54 divisors (see below), whose sum is σ = 29447236. Its totient is φ = 3674808.

The previous prime is 11128427. The next prime is 11128441. The reversal of 11128428 is 82482111.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (54).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11128427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 103951 + ... + 104057.

Almost surely, 2^11128428 is an apocalyptic number.

11128428 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 11128428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14723618).

11128428 is an abundant number, since it is smaller than the sum of its proper divisors (18318808).

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

11128428 is an equidigital number, since it uses as much as digits as its factorization.

11128428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 112 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

The square root of 11128428 is about 3335.9298553777. The cubic root of 11128428 is about 223.2601814825.

Multiplying 11128428 by its sum of digits (27), we get a square (300467556 = 17334²).

11128428 divided by its sum of digits (27) gives a square (412164 = 642²).

The spelling of 11128428 in words is "eleven million, one hundred twenty-eight thousand, four hundred twenty-eight".