2728691040 has 192 divisors, whose sum is σ = 8953301952. Its totient is φ = 697958400.

The previous prime is 2728691011. The next prime is 2728691041. The reversal of 2728691040 is 401968272.

It is a self number, because there is not a number n which added to its sum of digits gives 2728691040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2728691041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1199344 + ... + 1201616.

It is an arithmetic number, because the mean of its divisors is an integer number (46631781).

Almost surely, 2^2728691040 is an apocalyptic number.

2728691040 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 2728691040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4476650976).

2728691040 is an abundant number, since it is smaller than the sum of its proper divisors (6224610912).

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

2728691040 is a wasteful number, since it uses less digits than its factorization.

2728691040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 2728691040 is about 52236.8743322186. The cubic root of 2728691040 is about 1397.3915784904.

The spelling of 2728691040 in words is "two billion, seven hundred twenty-eight million, six hundred ninety-one thousand, forty".