228804800 has 168 divisors, whose sum is σ = 665195520. Its totient is φ = 75801600.

The previous prime is 228804791. The next prime is 228804803. The reversal of 228804800 is 8408822.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (228804803) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 346871 + ... + 347529.

Almost surely, 2^228804800 is an apocalyptic number.

228804800 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 228804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332597760).

228804800 is an abundant number, since it is smaller than the sum of its proper divisors (436390720).

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

228804800 is a wasteful number, since it uses less digits than its factorization.

228804800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 228804800 is about 15126.2949858847. The cubic root of 228804800 is about 611.6294337760.

The spelling of 228804800 in words is "two hundred twenty-eight million, eight hundred four thousand, eight hundred".