228456432 has 120 divisors (see below), whose sum is σ = 667077840. Its totient is φ = 72898560.

The previous prime is 228456427. The next prime is 228456433. The reversal of 228456432 is 234654822.

228456432 is a `hidden beast` number, since 2 + 2 + 8 + 4 + 5 + 643 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228456433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 947832 + ... + 948072.

It is an arithmetic number, because the mean of its divisors is an integer number (5558982).

Almost surely, 2^228456432 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 228456432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333538920).

228456432 is an abundant number, since it is smaller than the sum of its proper divisors (438621408).

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

228456432 is a wasteful number, since it uses less digits than its factorization.

228456432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 502 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 228456432 is about 15114.7752877772. The cubic root of 228456432 is about 611.3188628553.

The spelling of 228456432 in words is "two hundred twenty-eight million, four hundred fifty-six thousand, four hundred thirty-two".