272768328 has 96 divisors (see below), whose sum is σ = 858686400. Its totient is φ = 76604544.

The previous prime is 272768311. The next prime is 272768371. The reversal of 272768328 is 823867272.

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

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, 25150 + ... + 34322.

It is an arithmetic number, because the mean of its divisors is an integer number (8944650).

Almost surely, 2^272768328 is an apocalyptic number.

272768328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272768328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429343200).

272768328 is an abundant number, since it is smaller than the sum of its proper divisors (585918072).

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

272768328 is a wasteful number, since it uses less digits than its factorization.

272768328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9251 (or 9244 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 272768328 is about 16515.6994402296. The cubic root of 272768328 is about 648.5318564464.

The spelling of 272768328 in words is "two hundred seventy-two million, seven hundred sixty-eight thousand, three hundred twenty-eight".