2728075680 has 576 divisors, whose sum is σ = 11148762240. Its totient is φ = 620421120.

The previous prime is 2728075643. The next prime is 2728075709. The reversal of 2728075680 is 865708272.

2728075680 is a `hidden beast` number, since 2 + 7 + 2 + 80 + 7 + 568 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8886087 + ... + 8886393.

It is an arithmetic number, because the mean of its divisors is an integer number (19355490).

Almost surely, 2^2728075680 is an apocalyptic number.

2728075680 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 2728075680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5574381120).

2728075680 is an abundant number, since it is smaller than the sum of its proper divisors (8420686560).

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

2728075680 is a wasteful number, since it uses less digits than its factorization.

2728075680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 2728075680 is about 52230.9839080215. The cubic root of 2728075680 is about 1397.2865264689.

The spelling of 2728075680 in words is "two billion, seven hundred twenty-eight million, seventy-five thousand, six hundred eighty".