2005728 has 48 divisors (see below), whose sum is σ = 5579280. Its totient is φ = 628736.

The previous prime is 2005723. The next prime is 2005739. The reversal of 2005728 is 8275002.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2005698 and 2005707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005723) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1018 + ... + 2246.

It is an arithmetic number, because the mean of its divisors is an integer number (116235).

2^2005728 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 2005728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789640).

2005728 is an abundant number, since it is smaller than the sum of its proper divisors (3573552).

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

2005728 is a wasteful number, since it uses less digits than its factorization.

2005728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 2005728 is about 1416.2372682570. The cubic root of 2005728 is about 126.1122708070.

The spelling of 2005728 in words is "two million, five thousand, seven hundred twenty-eight".