705265728 has 56 divisors (see below), whose sum is σ = 1876531680. Its totient is φ = 233763840.

The previous prime is 705265711. The next prime is 705265741. The reversal of 705265728 is 827562507.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 705265728.

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 7 ways as a sum of consecutive naturals, for example, 24108 + ... + 44628.

Almost surely, 2^705265728 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 705265728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938265840).

705265728 is an abundant number, since it is smaller than the sum of its proper divisors (1171265952).

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

705265728 is a wasteful number, since it uses less digits than its factorization.

705265728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20715 (or 20705 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The square root of 705265728 is about 26556.8395710032. The cubic root of 705265728 is about 890.1248522400.

The spelling of 705265728 in words is "seven hundred five million, two hundred sixty-five thousand, seven hundred twenty-eight".