11428480 has 64 divisors (see below), whose sum is σ = 31236480. Its totient is φ = 3916800.

The previous prime is 11428451. The next prime is 11428489. The reversal of 11428480 is 8482411.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×11428480² = 261220310220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (11428489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3205 + ... + 5755.

It is an arithmetic number, because the mean of its divisors is an integer number (488070).

Almost surely, 2^11428480 is an apocalyptic number.

11428480 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 11428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15618240).

11428480 is an abundant number, since it is smaller than the sum of its proper divisors (19808000).

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

11428480 is an equidigital number, since it uses as much as digits as its factorization.

11428480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 11428480 is about 3380.6034964189. The cubic root of 11428480 is about 225.2489754216.

The spelling of 11428480 in words is "eleven million, four hundred twenty-eight thousand, four hundred eighty".