2728603440 has 120 divisors (see below), whose sum is σ = 9180991248. Its totient is φ = 726243840.

The previous prime is 2728603421. The next prime is 2728603447. The reversal of 2728603440 is 443068272.

2728603440 is a `hidden beast` number, since 2 + 7 + 2 + 8 + 603 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 2728603395 and 2728603404.

It is not an unprimeable number, because it can be changed into a prime (2728603447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 407802 + ... + 414438.

Almost surely, 2^2728603440 is an apocalyptic number.

2728603440 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 2728603440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4590495624).

2728603440 is an abundant number, since it is smaller than the sum of its proper divisors (6452387808).

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

2728603440 is a wasteful number, since it uses less digits than its factorization.

2728603440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7227 (or 7218 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2728603440 is about 52236.0358373413. The cubic root of 2728603440 is about 1397.3766247012.

The spelling of 2728603440 in words is "two billion, seven hundred twenty-eight million, six hundred three thousand, four hundred forty".