272839728 has 80 divisors (see below), whose sum is σ = 813162240. Its totient is φ = 77215488.

The previous prime is 272839717. The next prime is 272839729. The reversal of 272839728 is 827938272.

It is a super-2 number, since 2×272839728² = 148883034350227968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (272839729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32158 + ... + 39746.

It is an arithmetic number, because the mean of its divisors is an integer number (10164528).

Almost surely, 2^272839728 is an apocalyptic number.

272839728 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 272839728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406581120).

272839728 is an abundant number, since it is smaller than the sum of its proper divisors (540322512).

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

272839728 is a wasteful number, since it uses less digits than its factorization.

272839728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7714 (or 7708 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The square root of 272839728 is about 16517.8608784552. The cubic root of 272839728 is about 648.5884382047.

The spelling of 272839728 in words is "two hundred seventy-two million, eight hundred thirty-nine thousand, seven hundred twenty-eight".