78971328 has 112 divisors (see below), whose sum is σ = 242376960. Its totient is φ = 25166592.

The previous prime is 78971281. The next prime is 78971407. The reversal of 78971328 is 82317987.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38751 + ... + 40737.

It is an arithmetic number, because the mean of its divisors is an integer number (2164080).

Almost surely, 2^78971328 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 78971328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121188480).

78971328 is an abundant number, since it is smaller than the sum of its proper divisors (163405632).

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

78971328 is a wasteful number, since it uses less digits than its factorization.

78971328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2015 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 78971328 is about 8886.5813449267. The cubic root of 78971328 is about 429.0321263046.

The spelling of 78971328 in words is "seventy-eight million, nine hundred seventy-one thousand, three hundred twenty-eight".