228168000 has 168 divisors, whose sum is σ = 816452520. Its totient is φ = 60825600.

The previous prime is 228167987. The next prime is 228168001. The reversal of 228168000 is 861822.

It can be written as a sum of positive squares in 4 ways, for example, as 278784 + 227889216 = 528^2 + 15096^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228168001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70416 + ... + 73584.

Almost surely, 2^228168000 is an apocalyptic number.

228168000 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 228168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408226260).

228168000 is an abundant number, since it is smaller than the sum of its proper divisors (588284520).

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

228168000 is a wasteful number, since it uses less digits than its factorization.

228168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3202 (or 3179 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 228168000 is about 15105.2308820488. The cubic root of 228168000 is about 611.0614860224.

The spelling of 228168000 in words is "two hundred twenty-eight million, one hundred sixty-eight thousand".