228480768 has 108 divisors (see below), whose sum is σ = 664672008. Its totient is φ = 75479040.

The previous prime is 228480767. The next prime is 228480793. The reversal of 228480768 is 867084822.

It is a happy number.

It is a super-2 number, since 2×228480768² = 104406922691739648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228480767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 301446 + ... + 302202.

Almost surely, 2^228480768 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 228480768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332336004).

228480768 is an abundant number, since it is smaller than the sum of its proper divisors (436191240).

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

228480768 is a wasteful number, since it uses less digits than its factorization.

228480768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 228480768 is about 15115.5803064256. The cubic root of 228480768 is about 611.3405687119.

The spelling of 228480768 in words is "two hundred twenty-eight million, four hundred eighty thousand, seven hundred sixty-eight".