2004169728 has 176 divisors, whose sum is σ = 5885927424. Its totient is φ = 601251840.

The previous prime is 2004169721. The next prime is 2004169759. The reversal of 2004169728 is 8279614002.

It is a tau number, because it is divible by the number of its divisors (176).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004169721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4291351 + ... + 4291817.

Almost surely, 2^2004169728 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 2004169728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2942963712).

2004169728 is an abundant number, since it is smaller than the sum of its proper divisors (3881757696).

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

2004169728 is a wasteful number, since it uses less digits than its factorization.

2004169728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 2004169728 is about 44767.9542530145. The cubic root of 2004169728 is about 1260.7960301180.

The spelling of 2004169728 in words is "two billion, four million, one hundred sixty-nine thousand, seven hundred twenty-eight".