11228880 has 160 divisors (see below), whose sum is σ = 38747520. Its totient is φ = 2672640.

The previous prime is 11228879. The next prime is 11228881. The reversal of 11228880 is 8882211.

11228880 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 (11228879) and next prime (11228881).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11228881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184050 + ... + 184110.

It is an arithmetic number, because the mean of its divisors is an integer number (242172).

Almost surely, 2^11228880 is an apocalyptic number.

11228880 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 11228880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19373760).

11228880 is an abundant number, since it is smaller than the sum of its proper divisors (27518640).

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

11228880 is a wasteful number, since it uses less digits than its factorization.

11228880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

The square root of 11228880 is about 3350.9521035073. The cubic root of 11228880 is about 223.9299313156.

The spelling of 11228880 in words is "eleven million, two hundred twenty-eight thousand, eight hundred eighty".