228846816 has 192 divisors, whose sum is σ = 737856000. Its totient is φ = 68999040.

The previous prime is 228846797. The next prime is 228846829. The reversal of 228846816 is 618648822.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1149885 + ... + 1150083.

It is an arithmetic number, because the mean of its divisors is an integer number (3843000).

Almost surely, 2^228846816 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 228846816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368928000).

228846816 is an abundant number, since it is smaller than the sum of its proper divisors (509009184).

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

228846816 is a wasteful number, since it uses less digits than its factorization.

228846816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 215 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 228846816 is about 15127.6837618983. The cubic root of 228846816 is about 611.6668698342. Note that the first 3 decimals are identical.

The spelling of 228846816 in words is "two hundred twenty-eight million, eight hundred forty-six thousand, eight hundred sixteen".