2728337832 has 192 divisors, whose sum is σ = 8855308800. Its totient is φ = 749105280.

The previous prime is 2728337819. The next prime is 2728337849. The reversal of 2728337832 is 2387338272.

2728337832 is a `hidden beast` number, since 272 + 8 + 3 + 378 + 3 + 2 = 666.

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, 342163 + ... + 350045.

It is an arithmetic number, because the mean of its divisors is an integer number (46121400).

Almost surely, 2^2728337832 is an apocalyptic number.

2728337832 is a gapful number since it is divisible by the number (22) 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 2728337832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4427654400).

2728337832 is an abundant number, since it is smaller than the sum of its proper divisors (6126970968).

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

2728337832 is a wasteful number, since it uses less digits than its factorization.

2728337832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7948 (or 7941 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 2728337832 is about 52233.4933926499. The cubic root of 2728337832 is about 1397.3312820363.

The spelling of 2728337832 in words is "two billion, seven hundred twenty-eight million, three hundred thirty-seven thousand, eight hundred thirty-two".