2728774752 has 96 divisors (see below), whose sum is σ = 8066386944. Its totient is φ = 800217600.

The previous prime is 2728774733. The next prime is 2728774757. The reversal of 2728774752 is 2574778272.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2728774695 and 2728774704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2728774757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8943 + ... + 74414.

It is an arithmetic number, because the mean of its divisors is an integer number (84024864).

Almost surely, 2^2728774752 is an apocalyptic number.

2728774752 is a gapful number since it is divisible by the number (22) 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 2728774752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4033193472).

2728774752 is an abundant number, since it is smaller than the sum of its proper divisors (5337612192).

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

2728774752 is a wasteful number, since it uses less digits than its factorization.

2728774752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83412 (or 83404 counting only the distinct ones).

The product of its digits is 3073280, while the sum is 51.

The square root of 2728774752 is about 52237.6755991306. The cubic root of 2728774752 is about 1397.4058682782.

The spelling of 2728774752 in words is "two billion, seven hundred twenty-eight million, seven hundred seventy-four thousand, seven hundred fifty-two".