228413838240 has 576 divisors, whose sum is σ = 946884556800. Its totient is φ = 48976607232.

The previous prime is 228413838239. The next prime is 228413838241. The reversal of 228413838240 is 42838314822.

228413838240 is a `hidden beast` number, since 2 + 28 + 4 + 1 + 383 + 8 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (228413838239) and next prime (228413838241).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (228413838241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19720771 + ... + 19732349.

It is an arithmetic number, because the mean of its divisors is an integer number (1643896800).

Almost surely, 2^228413838240 is an apocalyptic number.

228413838240 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 228413838240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473442278400).

228413838240 is an abundant number, since it is smaller than the sum of its proper divisors (718470718560).

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

228413838240 is a wasteful number, since it uses less digits than its factorization.

228413838240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11729 (or 11718 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 228413838240 in words is "two hundred twenty-eight billion, four hundred thirteen million, eight hundred thirty-eight thousand, two hundred forty".