11329280 has 72 divisors (see below), whose sum is σ = 27814752. Its totient is φ = 4419584.

The previous prime is 11329261. The next prime is 11329319. The reversal of 11329280 is 8292311.

It is a super-3 number, since 3×11329280³ (a number of 22 digits) contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 67757 + ... + 67923.

It is an arithmetic number, because the mean of its divisors is an integer number (386316).

Almost surely, 2^11329280 is an apocalyptic number.

11329280 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 11329280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13907376).

11329280 is an abundant number, since it is smaller than the sum of its proper divisors (16485472).

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

11329280 is an equidigital number, since it uses as much as digits as its factorization.

11329280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 11329280 is about 3365.8995825782. The cubic root of 11329280 is about 224.5953550183.

The spelling of 11329280 in words is "eleven million, three hundred twenty-nine thousand, two hundred eighty".