905728 has 40 divisors (see below), whose sum is σ = 1902780. Its totient is φ = 430080.

The previous prime is 905719. The next prime is 905759. The reversal of 905728 is 827509.

It can be written as a sum of positive squares in 2 ways, for example, as 831744 + 73984 = 912^2 + 272^2 .

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 905728.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14818 + ... + 14878.

2⁹⁰⁵⁷²⁸ 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 905728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951390).

905728 is an abundant number, since it is smaller than the sum of its proper divisors (997052).

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

905728 is an equidigital number, since it uses as much as digits as its factorization.

905728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 905728 is about 951.6974309096. The cubic root of 905728 is about 96.7533322393.

The spelling of 905728 in words is "nine hundred five thousand, seven hundred twenty-eight".