11729280 has 128 divisors (see below), whose sum is σ = 38556000. Its totient is φ = 3031040.

The previous prime is 11729219. The next prime is 11729297. The reversal of 11729280 is 8292711.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 78646 + ... + 78794.

Almost surely, 2^11729280 is an apocalyptic number.

11729280 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 11729280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19278000).

11729280 is an abundant number, since it is smaller than the sum of its proper divisors (26826720).

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

11729280 is a wasteful number, since it uses less digits than its factorization.

11729280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 11729280 is about 3424.8036440065. The cubic root of 11729280 is about 227.2080867319.

The spelling of 11729280 in words is "eleven million, seven hundred twenty-nine thousand, two hundred eighty".