2005489728 has 336 divisors, whose sum is σ = 6809939136. Its totient is φ = 557383680.

The previous prime is 2005489723. The next prime is 2005489753. The reversal of 2005489728 is 8279845002.

It is a super-2 number, since 2×2005489728² = 8043978098227027968, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2005489721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4631400 + ... + 4631832.

It is an arithmetic number, because the mean of its divisors is an integer number (20267676).

Almost surely, 2^2005489728 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 2005489728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3404969568).

2005489728 is an abundant number, since it is smaller than the sum of its proper divisors (4804449408).

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

2005489728 is a wasteful number, since it uses less digits than its factorization.

2005489728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2005489728 is about 44782.6945147341. The cubic root of 2005489728 is about 1261.0727674117.

It can be divided in two parts, 200548 and 9728, that added together give a triangular number (210276 = T₆₄₈).

The spelling of 2005489728 in words is "two billion, five million, four hundred eighty-nine thousand, seven hundred twenty-eight".