272928097728 has 672 divisors, whose sum is σ = 1009308867840. Its totient is φ = 71842775040.

The previous prime is 272928097721. The next prime is 272928097751. The reversal of 272928097728 is 827790829272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272928097721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37803303 + ... + 37810521.

It is an arithmetic number, because the mean of its divisors is an integer number (1501947720).

Almost surely, 2^272928097728 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 272928097728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504654433920).

272928097728 is an abundant number, since it is smaller than the sum of its proper divisors (736380770112).

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

272928097728 is a wasteful number, since it uses less digits than its factorization.

272928097728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7287 (or 7265 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 272928097728 in words is "two hundred seventy-two billion, nine hundred twenty-eight million, ninety-seven thousand, seven hundred twenty-eight".