11428120 has 64 divisors (see below), whose sum is σ = 29548800. Its totient is φ = 3934080.

The previous prime is 11428111. The next prime is 11428121. The reversal of 11428120 is 2182411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11428121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7677 + ... + 9043.

It is an arithmetic number, because the mean of its divisors is an integer number (461700).

Almost surely, 2^11428120 is an apocalyptic number.

11428120 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 11428120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14774400).

11428120 is an abundant number, since it is smaller than the sum of its proper divisors (18120680).

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

11428120 is a wasteful number, since it uses less digits than its factorization.

11428120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 11428120 is about 3380.5502510686. The cubic root of 11428120 is about 225.2466102636.

The spelling of 11428120 in words is "eleven million, four hundred twenty-eight thousand, one hundred twenty".