2704393728 has 480 divisors, whose sum is σ = 9192268800. Its totient is φ = 759103488.

The previous prime is 2704393723. The next prime is 2704393733. The reversal of 2704393728 is 8273934072.

2704393728 is a `hidden beast` number, since 270 + 4 + 3 + 9 + 372 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2704393723) and next prime (2704393733).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2704393721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34232793 + ... + 34232871.

It is an arithmetic number, because the mean of its divisors is an integer number (19150560).

Almost surely, 2^2704393728 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 2704393728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596134400).

2704393728 is an abundant number, since it is smaller than the sum of its proper divisors (6487875072).

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

2704393728 is a wasteful number, since it uses less digits than its factorization.

2704393728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 2704393728 is about 52003.7857083501. The cubic root of 2704393728 is about 1393.2315695819.

The spelling of 2704393728 in words is "two billion, seven hundred four million, three hundred ninety-three thousand, seven hundred twenty-eight".