2728442880 has 616 divisors, whose sum is σ = 10631986992. Its totient is φ = 668860416.

The previous prime is 2728442861. The next prime is 2728442887. The reversal of 2728442880 is 882448272.

2728442880 is a `hidden beast` number, since 2 + 72 + 84 + 428 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2728442887) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 63452139 + ... + 63452181.

Almost surely, 2^2728442880 is an apocalyptic number.

2728442880 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 2728442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5315993496).

2728442880 is an abundant number, since it is smaller than the sum of its proper divisors (7903544112).

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

2728442880 is an equidigital number, since it uses as much as digits as its factorization.

2728442880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The square root of 2728442880 is about 52234.4989446630. The cubic root of 2728442880 is about 1397.3492154182.

The spelling of 2728442880 in words is "two billion, seven hundred twenty-eight million, four hundred forty-two thousand, eight hundred eighty".