2728818240 has 224 divisors, whose sum is σ = 9222418944. Its totient is φ = 681246720.

The previous prime is 2728818229. The next prime is 2728818241. The reversal of 2728818240 is 428188272.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2728818192 and 2728818201.

It is not an unprimeable number, because it can be changed into a prime (2728818241) 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 31 ways as a sum of consecutive naturals, for example, 4422412 + ... + 4423028.

Almost surely, 2^2728818240 is an apocalyptic number.

2728818240 is a gapful number since it is divisible by the number (20) 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 2728818240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4611209472).

2728818240 is an abundant number, since it is smaller than the sum of its proper divisors (6493600704).

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

2728818240 is a wasteful number, since it uses less digits than its factorization.

2728818240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 42.

The square root of 2728818240 is about 52238.0918487649. The cubic root of 2728818240 is about 1397.4132916421.

The spelling of 2728818240 in words is "two billion, seven hundred twenty-eight million, eight hundred eighteen thousand, two hundred forty".