228038400 has 324 divisors, whose sum is σ = 845149032. Its totient is φ = 58613760.

The previous prime is 228038389. The next prime is 228038423. The reversal of 228038400 is 4830822.

228038400 is a `hidden beast` number, since 2 + 280 + 384 + 0 + 0 = 666.

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 35 ways as a sum of consecutive naturals, for example, 2131147 + ... + 2131253.

Almost surely, 2^228038400 is an apocalyptic number.

228038400 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 228038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422574516).

228038400 is an abundant number, since it is smaller than the sum of its proper divisors (617110632).

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

228038400 is a wasteful number, since it uses less digits than its factorization.

228038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 228038400 is about 15100.9403680698. The cubic root of 228038400 is about 610.9457692882.

The spelling of 228038400 in words is "two hundred twenty-eight million, thirty-eight thousand, four hundred".