2728488001536 has 840 divisors, whose sum is σ = 9491458284000. Its totient is φ = 777789112320.

The previous prime is 2728488001531. The next prime is 2728488001609. The reversal of 2728488001536 is 6351008848272.

2728488001536 is a `hidden beast` number, since 2 + 7 + 2 + 8 + 488 + 0 + 0 + 153 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2728488001531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1364925465 + ... + 1364927463.

It is an arithmetic number, because the mean of its divisors is an integer number (11299355100).

Almost surely, 2^{2728488001536} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2728488001536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4745729142000).

2728488001536 is an abundant number, since it is smaller than the sum of its proper divisors (6762970282464).

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

2728488001536 is a wasteful number, since it uses less digits than its factorization.

2728488001536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 2728488001536 in words is "two trillion, seven hundred twenty-eight billion, four hundred eighty-eight million, one thousand, five hundred thirty-six".