228688120 has 64 divisors (see below), whose sum is σ = 531878400. Its totient is φ = 88427520.

The previous prime is 228688111. The next prime is 228688121. The reversal of 228688120 is 21886822.

228688120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 228688120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228688121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282276 + ... + 283084.

It is an arithmetic number, because the mean of its divisors is an integer number (8310600).

Almost surely, 2^228688120 is an apocalyptic number.

228688120 is a gapful number since it is divisible by the number (20) 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 228688120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265939200).

228688120 is an abundant number, since it is smaller than the sum of its proper divisors (303190280).

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

228688120 is a wasteful number, since it uses less digits than its factorization.

228688120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 228688120 is about 15122.4376341911. The cubic root of 228688120 is about 611.5254484040.

The spelling of 228688120 in words is "two hundred twenty-eight million, six hundred eighty-eight thousand, one hundred twenty".