228617856 has 128 divisors (see below), whose sum is σ = 683726400. Its totient is φ = 75193344.

The previous prime is 228617833. The next prime is 228617881. The reversal of 228617856 is 658716822.

228617856 is a `hidden beast` number, since 2 + 28 + 617 + 8 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×228617856² = 104532248164073472, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286450 + ... + 287246.

Almost surely, 2^228617856 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 228617856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341863200).

228617856 is an abundant number, since it is smaller than the sum of its proper divisors (455108544).

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

228617856 is an equidigital number, since it uses as much as digits as its factorization.

228617856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 885 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 228617856 is about 15120.1142852824. The cubic root of 228617856 is about 611.4628119693.

The spelling of 228617856 in words is "two hundred twenty-eight million, six hundred seventeen thousand, eight hundred fifty-six".