11428320 has 96 divisors (see below), whose sum is σ = 37285920. Its totient is φ = 2938880.

The previous prime is 11428297. The next prime is 11428331. The reversal of 11428320 is 2382411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 13510 + ... + 14330.

It is an arithmetic number, because the mean of its divisors is an integer number (388395).

Almost surely, 2^11428320 is an apocalyptic number.

11428320 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 11428320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18642960).

11428320 is an abundant number, since it is smaller than the sum of its proper divisors (25857600).

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

11428320 is a wasteful number, since it uses less digits than its factorization.

11428320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 11428320 is about 3380.5798319223. The cubic root of 11428320 is about 225.2479242464.

The spelling of 11428320 in words is "eleven million, four hundred twenty-eight thousand, three hundred twenty".