2816604001728 has 168 divisors, whose sum is σ = 8808254088816. Its totient is φ = 853416345600.

The previous prime is 2816604001727. The next prime is 2816604001733. The reversal of 2816604001728 is 8271004066182.

2816604001728 is a `hidden beast` number, since 2 + 8 + 1 + 6 + 604 + 0 + 0 + 17 + 28 = 666.

2816604001728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2816604001727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68110338 + ... + 68151678.

It is an arithmetic number, because the mean of its divisors is an integer number (52430083862).

Almost surely, 2^{2816604001728} 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 2816604001728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4404127044408).

2816604001728 is an abundant number, since it is smaller than the sum of its proper divisors (5991650087088).

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

2816604001728 is a wasteful number, since it uses less digits than its factorization.

2816604001728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52123 (or 52110 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 2816604001728 in words is "two trillion, eight hundred sixteen billion, six hundred four million, one thousand, seven hundred twenty-eight".