228144768 has 64 divisors (see below), whose sum is σ = 618952320. Its totient is φ = 74424320.

The previous prime is 228144767. The next prime is 228144781. The reversal of 228144768 is 867441822.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (228144767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11728 + ... + 24368.

It is an arithmetic number, because the mean of its divisors is an integer number (9671130).

Almost surely, 2^228144768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228144768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309476160).

228144768 is an abundant number, since it is smaller than the sum of its proper divisors (390807552).

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

228144768 is a wasteful number, since it uses less digits than its factorization.

228144768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12705 (or 12693 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The square root of 228144768 is about 15104.4618573453. The cubic root of 228144768 is about 611.0407459503.

The spelling of 228144768 in words is "two hundred twenty-eight million, one hundred forty-four thousand, seven hundred sixty-eight".