968728389300 has 864 divisors, whose sum is σ = 3879081722880. Its totient is φ = 196850995200.

The previous prime is 968728389271. The next prime is 968728389353. The reversal of 968728389300 is 3983827869.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1194485895 + ... + 1194486705.

It is an arithmetic number, because the mean of its divisors is an integer number (4489677920).

Almost surely, 2^968728389300 is an apocalyptic number.

968728389300 is a gapful number since it is divisible by the number (90) 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 968728389300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1939540861440).

968728389300 is an abundant number, since it is smaller than the sum of its proper divisors (2910353333580).

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

968728389300 is a wasteful number, since it uses less digits than its factorization.

968728389300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 968728389300 in words is "nine hundred sixty-eight billion, seven hundred twenty-eight million, three hundred eighty-nine thousand, three hundred".