11128320 has 320 divisors, whose sum is σ = 47139840. Its totient is φ = 2433024.

The previous prime is 11128309. The next prime is 11128361. The reversal of 11128320 is 2382111.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11128293 and 11128302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483829 + ... + 483851.

It is an arithmetic number, because the mean of its divisors is an integer number (147312).

Almost surely, 2^11128320 is an apocalyptic number.

11128320 is a gapful number since it is divisible by the number (10) 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 11128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23569920).

11128320 is an abundant number, since it is smaller than the sum of its proper divisors (36011520).

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

11128320 is an equidigital number, since it uses as much as digits as its factorization.

11128320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 11128320 is about 3335.9136679477. The cubic root of 11128320 is about 223.2594592428.

The spelling of 11128320 in words is "eleven million, one hundred twenty-eight thousand, three hundred twenty".