2728596480 has 176 divisors, whose sum is σ = 8768758464. Its totient is φ = 724172800.

The previous prime is 2728596463. The next prime is 2728596529. The reversal of 2728596480 is 846958272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6159139 + ... + 6159581.

Almost surely, 2^2728596480 is an apocalyptic number.

2728596480 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 2728596480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4384379232).

2728596480 is an abundant number, since it is smaller than the sum of its proper divisors (6040161984).

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

2728596480 is a wasteful number, since it uses less digits than its factorization.

2728596480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The square root of 2728596480 is about 52235.9692166231. The cubic root of 2728596480 is about 1397.3754365782.

The spelling of 2728596480 in words is "two billion, seven hundred twenty-eight million, five hundred ninety-six thousand, four hundred eighty".