2728366080 has 312 divisors, whose sum is σ = 9621607296. Its totient is φ = 659619840.

The previous prime is 2728366031. The next prime is 2728366127. The reversal of 2728366080 is 806638272.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7434057 + ... + 7434423.

Almost surely, 2^2728366080 is an apocalyptic number.

2728366080 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 2728366080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4810803648).

2728366080 is an abundant number, since it is smaller than the sum of its proper divisors (6893241216).

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

2728366080 is a wasteful number, since it uses less digits than its factorization.

2728366080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 2728366080 is about 52233.7637931635. The cubic root of 2728366080 is about 1397.3361044691.

The spelling of 2728366080 in words is "two billion, seven hundred twenty-eight million, three hundred sixty-six thousand, eighty".