78948638928 has 320 divisors, whose sum is σ = 248524093440. Its totient is φ = 23887872000.

The previous prime is 78948638927. The next prime is 78948638939. The reversal of 78948638928 is 82983684987.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78948638921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131361828 + ... + 131362428.

It is an arithmetic number, because the mean of its divisors is an integer number (776637792).

Almost surely, 2^78948638928 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 78948638928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124262046720).

78948638928 is an abundant number, since it is smaller than the sum of its proper divisors (169575454512).

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

78948638928 is a wasteful number, since it uses less digits than its factorization.

78948638928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1231 counting only the distinct ones).

The product of its digits is 334430208, while the sum is 72.

The spelling of 78948638928 in words is "seventy-eight billion, nine hundred forty-eight million, six hundred thirty-eight thousand, nine hundred twenty-eight".