11828880 has 120 divisors (see below), whose sum is σ = 45419712. Its totient is φ = 2702592.

The previous prime is 11828867. The next prime is 11828881. The reversal of 11828880 is 8882811.

It is a happy number.

11828880 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11828881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3867 + ... + 6213.

Almost surely, 2^11828880 is an apocalyptic number.

11828880 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 11828880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22709856).

11828880 is an abundant number, since it is smaller than the sum of its proper divisors (33590832).

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

11828880 is a wasteful number, since it uses less digits than its factorization.

11828880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2373 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The square root of 11828880 is about 3439.3138850649. The cubic root of 11828880 is about 227.8493926884.

The spelling of 11828880 in words is "eleven million, eight hundred twenty-eight thousand, eight hundred eighty".