1005728 has 24 divisors (see below), whose sum is σ = 2020788. Its totient is φ = 492544.

The previous prime is 1005709. The next prime is 1005751. The reversal of 1005728 is 8275001.

It can be written as a sum of positive squares in 2 ways, for example, as 976144 + 29584 = 988^2 + 172^2 .

It is a super-2 number, since 2×1005728² = 2022977619968, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1400 + ... + 1992.

2^1005728 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 1005728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010394).

1005728 is an abundant number, since it is smaller than the sum of its proper divisors (1015060).

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

1005728 is an equidigital number, since it uses as much as digits as its factorization.

1005728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 1005728 is about 1002.8599104561. The cubic root of 1005728 is about 100.1905699336.

The spelling of 1005728 in words is "one million, five thousand, seven hundred twenty-eight".