228688000 has 64 divisors (see below), whose sum is σ = 568615320. Its totient is φ = 91468800.

The previous prime is 228687983. The next prime is 228688001. The reversal of 228688000 is 886822.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9884736 + 218803264 = 3144^2 + 14792^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (228688001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8854 + ... + 23146.

Almost surely, 2^228688000 is an apocalyptic number.

228688000 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 228688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284307660).

228688000 is an abundant number, since it is smaller than the sum of its proper divisors (339927320).

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

228688000 is an equidigital number, since it uses as much as digits as its factorization.

228688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14322 (or 14300 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 228688000 is about 15122.4336665763. The cubic root of 228688000 is about 611.5253414417.

The spelling of 228688000 in words is "two hundred twenty-eight million, six hundred eighty-eight thousand".