228589400 has 72 divisors (see below), whose sum is σ = 575582580. Its totient is φ = 84389760.

The previous prime is 228589279. The next prime is 228589409. The reversal of 228589400 is 4985822.

228589400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×228589400² = 104506227584720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228589409) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 30419 + ... + 37181.

Almost surely, 2^228589400 is an apocalyptic number.

228589400 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 228589400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287791290).

228589400 is an abundant number, since it is smaller than the sum of its proper divisors (346993180).

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

228589400 is a wasteful number, since it uses less digits than its factorization.

228589400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6805 (or 6783 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 228589400 is about 15119.1732578207. The cubic root of 228589400 is about 611.4374413821.

The spelling of 228589400 in words is "two hundred twenty-eight million, five hundred eighty-nine thousand, four hundred".