228811968 has 378 divisors, whose sum is σ = 851103708. Its totient is φ = 58544640.

The previous prime is 228811951. The next prime is 228812047. The reversal of 228811968 is 869118822.

It is a happy number.

228811968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3415071 + ... + 3415137.

Almost surely, 2^228811968 is an apocalyptic number.

228811968 is a gapful number since it is divisible by the number (28) 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 228811968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425551854).

228811968 is an abundant number, since it is smaller than the sum of its proper divisors (622291740).

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

228811968 is a wasteful number, since it uses less digits than its factorization.

228811968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 90 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 228811968 is about 15126.5319224203. The cubic root of 228811968 is about 611.6358207545.

The spelling of 228811968 in words is "two hundred twenty-eight million, eight hundred eleven thousand, nine hundred sixty-eight".