2728443240 has 72 divisors (see below), whose sum is σ = 8870662710. Its totient is φ = 727320576.

The previous prime is 2728443229. The next prime is 2728443247. The reversal of 2728443240 is 423448272.

It can be written as a sum of positive squares in 3 ways, for example, as 2720456964 + 7986276 = 52158^2 + 2826^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2728443195 and 2728443204.

It is not an unprimeable number, because it can be changed into a prime (2728443247) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 989704 + ... + 992456.

Almost surely, 2^2728443240 is an apocalyptic number.

2728443240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2728443240 is an abundant number, since it is smaller than the sum of its proper divisors (6142219470).

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

2728443240 is an equidigital number, since it uses as much as digits as its factorization.

2728443240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5523 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 2728443240 is about 52234.5023906613. The cubic root of 2728443240 is about 1397.3492768752.

The spelling of 2728443240 in words is "two billion, seven hundred twenty-eight million, four hundred forty-three thousand, two hundred forty".