705256728 has 96 divisors (see below), whose sum is σ = 2022451200. Its totient is φ = 204402880.

The previous prime is 705256697. The next prime is 705256729. The reversal of 705256728 is 827652507.

It is a self number, because there is not a number n which added to its sum of digits gives 705256728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705256729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61513 + ... + 72071.

It is an arithmetic number, because the mean of its divisors is an integer number (21067200).

Almost surely, 2^705256728 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 705256728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011225600).

705256728 is an abundant number, since it is smaller than the sum of its proper divisors (1317194472).

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

705256728 is a wasteful number, since it uses less digits than its factorization.

705256728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10613 (or 10598 counting only the distinct ones).

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

The square root of 705256728 is about 26556.6701225888. The cubic root of 705256728 is about 890.1210658857.

The spelling of 705256728 in words is "seven hundred five million, two hundred fifty-six thousand, seven hundred twenty-eight".