228787200 has 264 divisors, whose sum is σ = 842708960. Its totient is φ = 60825600.

The previous prime is 228787199. The next prime is 228787201. The reversal of 228787200 is 2787822.

It is an interprime number because it is at equal distance from previous prime (228787199) and next prime (228787201).

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

It is not an unprimeable number, because it can be changed into a prime (228787201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 691035 + ... + 691365.

Almost surely, 2^228787200 is an apocalyptic number.

228787200 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 228787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421354480).

228787200 is an abundant number, since it is smaller than the sum of its proper divisors (613921760).

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

228787200 is a wasteful number, since it uses less digits than its factorization.

228787200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 228787200 is about 15125.7132063252. The cubic root of 228787200 is about 611.6137508969.

The spelling of 228787200 in words is "two hundred twenty-eight million, seven hundred eighty-seven thousand, two hundred".