978873192 has 384 divisors, whose sum is σ = 3335904000. Its totient is φ = 255467520.

The previous prime is 978873187. The next prime is 978873193. The reversal of 978873192 is 291378879.

978873192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (978873193) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8980434 + ... + 8980542.

It is an arithmetic number, because the mean of its divisors is an integer number (8687250).

Almost surely, 2^978873192 is an apocalyptic number.

978873192 is a gapful number since it is divisible by the number (92) 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 978873192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667952000).

978873192 is an abundant number, since it is smaller than the sum of its proper divisors (2357030808).

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

978873192 is a wasteful number, since it uses less digits than its factorization.

978873192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 194 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 54.

The square root of 978873192 is about 31286.9492280727. The cubic root of 978873192 is about 992.9075466964.

The spelling of 978873192 in words is "nine hundred seventy-eight million, eight hundred seventy-three thousand, one hundred ninety-two".