228114432 has 360 divisors, whose sum is σ = 858757536. Its totient is φ = 56623104.

The previous prime is 228114413. The next prime is 228114443. The reversal of 228114432 is 234411822.

228114432 is a `hidden beast` number, since 228 + 1 + 1 + 4 + 432 = 666.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 228114396 and 228114405.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13418488 + ... + 13418504.

Almost surely, 2^228114432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429378768).

228114432 is an abundant number, since it is smaller than the sum of its proper divisors (630643104).

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

228114432 is a wasteful number, since it uses less digits than its factorization.

228114432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 42 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 228114432 is about 15103.4576173802. The cubic root of 228114432 is about 611.0136617530.

The spelling of 228114432 in words is "two hundred twenty-eight million, one hundred fourteen thousand, four hundred thirty-two".