2728467249984 has 336 divisors, whose sum is σ = 9290594267136. Its totient is φ = 777739968000.

The previous prime is 2728467249979. The next prime is 2728467250051. The reversal of 2728467249984 is 4899427648272.

2728467249984 is a `hidden beast` number, since 2 + 7 + 28 + 46 + 72 + 499 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46891309 + ... + 46949459.

It is an arithmetic number, because the mean of its divisors is an integer number (27650578176).

Almost surely, 2^{2728467249984} is an apocalyptic number.

2728467249984 is a gapful number since it is divisible by the number (24) 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 2728467249984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4645297133568).

2728467249984 is an abundant number, since it is smaller than the sum of its proper divisors (6562127017152).

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

2728467249984 is an equidigital number, since it uses as much as digits as its factorization.

2728467249984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58616 (or 58594 counting only the distinct ones).

The product of its digits is 780337152, while the sum is 72.

The spelling of 2728467249984 in words is "two trillion, seven hundred twenty-eight billion, four hundred sixty-seven million, two hundred forty-nine thousand, nine hundred eighty-four".