678251728 has 240 divisors, whose sum is σ = 1791313920. Its totient is φ = 245548800.

The previous prime is 678251719. The next prime is 678251731. The reversal of 678251728 is 827152876.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 11495763 + ... + 11495821.

It is an arithmetic number, because the mean of its divisors is an integer number (7463808).

Almost surely, 2^678251728 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 678251728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895656960).

678251728 is an abundant number, since it is smaller than the sum of its proper divisors (1113062192).

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

678251728 is a wasteful number, since it uses less digits than its factorization.

678251728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 153 counting only the distinct ones).

The product of its digits is 376320, while the sum is 46.

The square root of 678251728 is about 26043.2664617939. The cubic root of 678251728 is about 878.6116745067.

The spelling of 678251728 in words is "six hundred seventy-eight million, two hundred fifty-one thousand, seven hundred twenty-eight".