2728320000 has 660 divisors, whose sum is σ = 10935155880. Its totient is φ = 602112000.

The previous prime is 2728319999. The next prime is 2728320011. The reversal of 2728320000 is 238272.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 94079986 + ... + 94080014.

It is an arithmetic number, because the mean of its divisors is an integer number (16568418).

Almost surely, 2^2728320000 is an apocalyptic number.

2728320000 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 2728320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5467577940).

2728320000 is an abundant number, since it is smaller than the sum of its proper divisors (8206835880).

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

2728320000 is an equidigital number, since it uses as much as digits as its factorization.

2728320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2728320000 is about 52233.3226972974. The cubic root of 2728320000 is about 1397.3282377816.

Adding to 2728320000 its reverse (238272), we get a palindrome (2728558272).

The spelling of 2728320000 in words is "two billion, seven hundred twenty-eight million, three hundred twenty thousand".