228800 has 84 divisors (see below), whose sum is σ = 661416. Its totient is φ = 76800.

The previous prime is 228799. The next prime is 228829. The reversal of 228800 is 8822.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17594 + ... + 17606.

It is an arithmetic number, because the mean of its divisors is an integer number (7874).

2²²⁸⁸⁰⁰ is an apocalyptic number.

228800 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 228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330708).

228800 is an abundant number, since it is smaller than the sum of its proper divisors (432616).

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

228800 is a wasteful number, since it uses less digits than its factorization.

228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 228800 is about 478.3304297241. The cubic root of 228800 is about 61.1625156707.

It can be divided in two parts, 22 and 8800, that multiplied together give a square (193600 = 440²).

The spelling of 228800 in words is "two hundred twenty-eight thousand, eight hundred".