2728747260 has 144 divisors (see below), whose sum is σ = 8456011200. Its totient is φ = 712104960.

The previous prime is 2728747247. The next prime is 2728747279. The reversal of 2728747260 is 627478272.

2728747260 is a `hidden beast` number, since 272 + 87 + 47 + 260 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1903504 + ... + 1904936.

It is an arithmetic number, because the mean of its divisors is an integer number (58722300).

Almost surely, 2^2728747260 is an apocalyptic number.

2728747260 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 2728747260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4228005600).

2728747260 is an abundant number, since it is smaller than the sum of its proper divisors (5727263940).

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

2728747260 is a wasteful number, since it uses less digits than its factorization.

2728747260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 2728747260 is about 52237.4124550594. The cubic root of 2728747260 is about 1397.4011753770.

It can be divided in two parts, 27287 and 47260, that added together give a palindrome (74547).

The spelling of 2728747260 in words is "two billion, seven hundred twenty-eight million, seven hundred forty-seven thousand, two hundred sixty".