228123432 has 64 divisors (see below), whose sum is σ = 635337600. Its totient is φ = 75841920.

The previous prime is 228123421. The next prime is 228123449. The reversal of 228123432 is 234321822.

228123432 is a `hidden beast` number, since 228 + 1 + 2 + 3 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 228123396 and 228123405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97557 + ... + 99867.

It is an arithmetic number, because the mean of its divisors is an integer number (9927150).

Almost surely, 2^228123432 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 228123432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317668800).

228123432 is an abundant number, since it is smaller than the sum of its proper divisors (407214168).

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

228123432 is a wasteful number, since it uses less digits than its factorization.

228123432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783 (or 2773 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 228123432 is about 15103.7555594627. The cubic root of 228123432 is about 611.0216972677.

It can be divided in two parts, 22812 and 3432, that added together give a square (26244 = 162²).

The spelling of 228123432 in words is "two hundred twenty-eight million, one hundred twenty-three thousand, four hundred thirty-two".