2728443648 has 72 divisors (see below), whose sum is σ = 8299032448. Its totient is φ = 779553792.

The previous prime is 2728443587. The next prime is 2728443661. The reversal of 2728443648 is 8463448272.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2728443597 and 2728443606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248386 + ... + 259137.

Almost surely, 2^2728443648 is an apocalyptic number.

2728443648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2728443648 is an abundant number, since it is smaller than the sum of its proper divisors (5570588800).

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

2728443648 is an equidigital number, since it uses as much as digits as its factorization.

2728443648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507549 (or 507535 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 48.

The square root of 2728443648 is about 52234.5062961257. The cubic root of 2728443648 is about 1397.3493465264.

The spelling of 2728443648 in words is "two billion, seven hundred twenty-eight million, four hundred forty-three thousand, six hundred forty-eight".