678481128 has 192 divisors, whose sum is σ = 2079168000. Its totient is φ = 198443520.

The previous prime is 678481109. The next prime is 678481171. The reversal of 678481128 is 821184876.

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, 1943898 + ... + 1944246.

It is an arithmetic number, because the mean of its divisors is an integer number (10829000).

Almost surely, 2^678481128 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 678481128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039584000).

678481128 is an abundant number, since it is smaller than the sum of its proper divisors (1400686872).

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

678481128 is a wasteful number, since it uses less digits than its factorization.

678481128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 465 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The square root of 678481128 is about 26047.6702988962. The cubic root of 678481128 is about 878.7107187557.

The spelling of 678481128 in words is "six hundred seventy-eight million, four hundred eighty-one thousand, one hundred twenty-eight".