228689664 has 216 divisors, whose sum is σ = 727009920. Its totient is φ = 63608832.

The previous prime is 228689663. The next prime is 228689689. The reversal of 228689664 is 466986822.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228689663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2220237 + ... + 2220339.

Almost surely, 2^228689664 is an apocalyptic number.

228689664 is a gapful number since it is divisible by the number (24) 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 228689664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363504960).

228689664 is an abundant number, since it is smaller than the sum of its proper divisors (498320256).

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

228689664 is a wasteful number, since it uses less digits than its factorization.

228689664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 174 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 51.

The square root of 228689664 is about 15122.4886840758. The cubic root of 228689664 is about 611.5268246498.

The spelling of 228689664 in words is "two hundred twenty-eight million, six hundred eighty-nine thousand, six hundred sixty-four".