228784864 has 144 divisors (see below), whose sum is σ = 592026624. Its totient is φ = 85029120.

The previous prime is 228784859. The next prime is 228784873. The reversal of 228784864 is 468487822.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 623209 + ... + 623575.

It is an arithmetic number, because the mean of its divisors is an integer number (4111296).

Almost surely, 2^228784864 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 228784864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296013312).

228784864 is an abundant number, since it is smaller than the sum of its proper divisors (363241760).

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

228784864 is a wasteful number, since it uses less digits than its factorization.

228784864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 410 counting only the distinct ones).

The product of its digits is 1376256, while the sum is 49.

The square root of 228784864 is about 15125.6359866288. The cubic root of 228784864 is about 611.6116692907.

The spelling of 228784864 in words is "two hundred twenty-eight million, seven hundred eighty-four thousand, eight hundred sixty-four".