228784320 has 336 divisors, whose sum is σ = 858255840. Its totient is φ = 55738368.

The previous prime is 228784319. The next prime is 228784333. The reversal of 228784320 is 23487822.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 2024584 + ... + 2024696.

Almost surely, 2^228784320 is an apocalyptic number.

228784320 is a gapful number since it is divisible by the number (20) 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 228784320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429127920).

228784320 is an abundant number, since it is smaller than the sum of its proper divisors (629471520).

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

228784320 is a wasteful number, since it uses less digits than its factorization.

228784320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 228784320 is about 15125.6180039032. The cubic root of 228784320 is about 611.6111845310.

The spelling of 228784320 in words is "two hundred twenty-eight million, seven hundred eighty-four thousand, three hundred twenty".