2728626448 has 40 divisors (see below), whose sum is σ = 5463856640. Its totient is φ = 1318705920.

The previous prime is 2728626437. The next prime is 2728626451. The reversal of 2728626448 is 8446268272.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 476788 + ... + 482476.

It is an arithmetic number, because the mean of its divisors is an integer number (136596416).

Almost surely, 2^2728626448 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 2728626448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731928320).

2728626448 is an abundant number, since it is smaller than the sum of its proper divisors (2735230192).

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

2728626448 is a wasteful number, since it uses less digits than its factorization.

2728626448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6695 (or 6689 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 49.

The square root of 2728626448 is about 52236.2560679840. The cubic root of 2728626448 is about 1397.3805523210.

The spelling of 2728626448 in words is "two billion, seven hundred twenty-eight million, six hundred twenty-six thousand, four hundred forty-eight".