11728080 has 240 divisors, whose sum is σ = 48746880. Its totient is φ = 2460672.

The previous prime is 11728061. The next prime is 11728099. The reversal of 11728080 is 8082711.

11728080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11728061) and next prime (11728099).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65431 + ... + 65609.

It is an arithmetic number, because the mean of its divisors is an integer number (203112).

Almost surely, 2^11728080 is an apocalyptic number.

11728080 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 11728080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24373440).

11728080 is an abundant number, since it is smaller than the sum of its proper divisors (37018800).

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

11728080 is a wasteful number, since it uses less digits than its factorization.

11728080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 11728080 is about 3424.6284469998. The cubic root of 11728080 is about 227.2003380607.

The spelling of 11728080 in words is "eleven million, seven hundred twenty-eight thousand, eighty".