705600028 has 48 divisors (see below), whose sum is σ = 1497000960. Its totient is φ = 284080896.

The previous prime is 705600023. The next prime is 705600043. The reversal of 705600028 is 820006507.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 705599969 and 705600005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705600023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345033 + ... + 347071.

It is an arithmetic number, because the mean of its divisors is an integer number (31187520).

Almost surely, 2^705600028 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 705600028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748500480).

705600028 is an abundant number, since it is smaller than the sum of its proper divisors (791400932).

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

705600028 is a wasteful number, since it uses less digits than its factorization.

705600028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2794 (or 2792 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 705600028 is about 26563.1328724607. The cubic root of 705600028 is about 890.2654714526.

The spelling of 705600028 in words is "seven hundred five million, six hundred thousand, twenty-eight".