272832228 has 72 divisors (see below), whose sum is σ = 711946872. Its totient is φ = 88031232.

The previous prime is 272832221. The next prime is 272832253. The reversal of 272832228 is 822238272.

It can be written as a sum of positive squares in 4 ways, for example, as 178703424 + 94128804 = 13368^2 + 9702^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 272832192 and 272832201.

It is not an unprimeable number, because it can be changed into a prime (272832221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 341926 + ... + 342722.

It is an arithmetic number, because the mean of its divisors is an integer number (9888151).

Almost surely, 2^272832228 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 272832228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355973436).

272832228 is an abundant number, since it is smaller than the sum of its proper divisors (439114644).

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

272832228 is a wasteful number, since it uses less digits than its factorization.

272832228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1096 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 272832228 is about 16517.6338499193. The cubic root of 272832228 is about 648.5824952067.

The spelling of 272832228 in words is "two hundred seventy-two million, eight hundred thirty-two thousand, two hundred twenty-eight".