228400 has 30 divisors (see below), whose sum is σ = 549692. Its totient is φ = 91200.

The previous prime is 228383. The next prime is 228409. The reversal of 228400 is 4822.

228400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (228409) by changing a digit.

228400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 115 + ... + 685.

2²²⁸⁴⁰⁰ is an apocalyptic number.

228400 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 228400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274846).

228400 is an abundant number, since it is smaller than the sum of its proper divisors (321292).

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

228400 is a wasteful number, since it uses less digits than its factorization.

228400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 228400 is about 477.9121258139. The cubic root of 228400 is about 61.1268523882.

The spelling of 228400 in words is "two hundred twenty-eight thousand, four hundred".