228138432 has 112 divisors (see below), whose sum is σ = 628387872. Its totient is φ = 72990720.

The previous prime is 228138431. The next prime is 228138433. The reversal of 228138432 is 234831822.

It is an interprime number because it is at equal distance from previous prime (228138431) and next prime (228138433).

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 = 228138393 and 228138402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228138431) by changing a digit.

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, 574458 + ... + 574854.

It is an arithmetic number, because the mean of its divisors is an integer number (5610606).

Almost surely, 2^228138432 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 228138432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314193936).

228138432 is an abundant number, since it is smaller than the sum of its proper divisors (400249440).

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

228138432 is a wasteful number, since it uses less digits than its factorization.

228138432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 516 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 228138432 is about 15104.2521165399. The cubic root of 228138432 is about 611.0350893226.

The spelling of 228138432 in words is "two hundred twenty-eight million, one hundred thirty-eight thousand, four hundred thirty-two".