228838400 has 132 divisors (see below), whose sum is σ = 648784368. Its totient is φ = 78397440.

The previous prime is 228838399. The next prime is 228838453. The reversal of 228838400 is 4838822.

It is a Harshad number since it is a multiple of its sum of digits (35).

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 11 ways as a sum of consecutive naturals, for example, 178562 + ... + 179838.

Almost surely, 2^228838400 is an apocalyptic number.

228838400 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 228838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324392184).

228838400 is an abundant number, since it is smaller than the sum of its proper divisors (419945968).

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

228838400 is a wasteful number, since it uses less digits than its factorization.

228838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 228838400 is about 15127.4055938221. The cubic root of 228838400 is about 611.6593715849.

The spelling of 228838400 in words is "two hundred twenty-eight million, eight hundred thirty-eight thousand, four hundred".