678836928 has 448 divisors, whose sum is σ = 2468441088. Its totient is φ = 159252480.

The previous prime is 678836923. The next prime is 678836947. The reversal of 678836928 is 829638876.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (678836923) 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 63 ways as a sum of consecutive naturals, for example, 9299100 + ... + 9299172.

Almost surely, 2^678836928 is an apocalyptic number.

678836928 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 678836928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234220544).

678836928 is an abundant number, since it is smaller than the sum of its proper divisors (1789604160).

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

678836928 is a wasteful number, since it uses less digits than its factorization.

678836928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 150 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 57.

The square root of 678836928 is about 26054.4991891995. The cubic root of 678836928 is about 878.8642924886.

The spelling of 678836928 in words is "six hundred seventy-eight million, eight hundred thirty-six thousand, nine hundred twenty-eight".