2704321728 has 168 divisors, whose sum is σ = 8106674160. Its totient is φ = 894955392.

The previous prime is 2704321709. The next prime is 2704321783. The reversal of 2704321728 is 8271234072.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-3 number, since 3×2704321728³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2704321692 and 2704321701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19455483 + ... + 19455621.

Almost surely, 2^2704321728 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 2704321728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4053337080).

2704321728 is an abundant number, since it is smaller than the sum of its proper divisors (5402352432).

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

2704321728 is an frugal number, since it uses more digits than its factorization.

2704321728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 2704321728 is about 52003.0934464480. The cubic root of 2704321728 is about 1393.2192053118.

Multiplying 2704321728 by its product of nonzero digits (37632), we get a square (101769035268096 = 10088064²).

The spelling of 2704321728 in words is "two billion, seven hundred four million, three hundred twenty-one thousand, seven hundred twenty-eight".