705448728 has 96 divisors (see below), whose sum is σ = 2036417760. Its totient is φ = 219847680.

The previous prime is 705448727. The next prime is 705448817. The reversal of 705448728 is 827844507.

705448728 is a `hidden beast` number, since 7 + 0 + 544 + 87 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705448727) 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 23 ways as a sum of consecutive naturals, for example, 190333 + ... + 194003.

It is an arithmetic number, because the mean of its divisors is an integer number (21212685).

Almost surely, 2^705448728 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 705448728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018208880).

705448728 is an abundant number, since it is smaller than the sum of its proper divisors (1330969032).

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

705448728 is a wasteful number, since it uses less digits than its factorization.

705448728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3857 (or 3850 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 705448728 is about 26560.2847876298. The cubic root of 705448728 is about 890.2018344584.

The spelling of 705448728 in words is "seven hundred five million, four hundred forty-eight thousand, seven hundred twenty-eight".