228767616 has 192 divisors, whose sum is σ = 821059200. Its totient is φ = 59397120.

The previous prime is 228767599. The next prime is 228767621. The reversal of 228767616 is 616767822.

228767616 is a `hidden beast` number, since 2 + 28 + 7 + 6 + 7 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87415 + ... + 89993.

It is an arithmetic number, because the mean of its divisors is an integer number (4276350).

Almost surely, 2^228767616 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 228767616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410529600).

228767616 is an abundant number, since it is smaller than the sum of its proper divisors (592291584).

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

228767616 is a wasteful number, since it uses less digits than its factorization.

228767616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2617 (or 2602 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 228767616 is about 15125.0658180386. The cubic root of 228767616 is about 611.5962991842.

The spelling of 228767616 in words is "two hundred twenty-eight million, seven hundred sixty-seven thousand, six hundred sixteen".