704928 has 48 divisors (see below), whose sum is σ = 2116800. Its totient is φ = 201216.

The previous prime is 704897. The next prime is 704929. The reversal of 704928 is 829407.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 704895 and 704904.

It is not an unprimeable number, because it can be changed into a prime (704929) by changing a digit.

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, 148 + ... + 1196.

It is an arithmetic number, because the mean of its divisors is an integer number (44100).

2⁷⁰⁴⁹²⁸ 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 704928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058400).

704928 is an abundant number, since it is smaller than the sum of its proper divisors (1411872).

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

704928 is a wasteful number, since it uses less digits than its factorization.

704928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 704928 is about 839.5999047165. The cubic root of 704928 is about 88.9982745952.

It can be divided in two parts, 70492 and 8, that added together give a triangular number (70500 = T₃₇₅).

The spelling of 704928 in words is "seven hundred four thousand, nine hundred twenty-eight".