2728888272 has 80 divisors (see below), whose sum is σ = 8545018560. Its totient is φ = 826934400.

The previous prime is 2728888259. The next prime is 2728888273.

2728888272 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2728888273) 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, 282379 + ... + 291882.

It is an arithmetic number, because the mean of its divisors is an integer number (106812732).

Almost surely, 2^2728888272 is an apocalyptic number.

2728888272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2728888272 is an abundant number, since it is smaller than the sum of its proper divisors (5816130288).

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

2728888272 is a wasteful number, since it uses less digits than its factorization.

2728888272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574289 (or 574277 counting only the distinct ones).

The product of its digits is 3211264, while the sum is 54.

The square root of 2728888272 is about 52238.7621599134. The cubic root of 2728888272 is about 1397.4252458779.

The spelling of 2728888272 in words is "two billion, seven hundred twenty-eight million, eight hundred eighty-eight thousand, two hundred seventy-two".