982829347500 has 1920 divisors, whose sum is σ = 4108099387392. Its totient is φ = 176256000000.

The previous prime is 982829347453. The next prime is 982829347501. The reversal of 982829347500 is 5743928289.

It is a happy number.

982829347500 is digitally balanced in base 2 and base 4, because in such bases 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 (982829347501) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 9542032449 + ... + 9542032551.

Almost surely, 2^982829347500 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 982829347500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054049693696).

982829347500 is an abundant number, since it is smaller than the sum of its proper divisors (3125270039892).

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

982829347500 is a wasteful number, since it uses less digits than its factorization.

982829347500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 982829347500 in words is "nine hundred eighty-two billion, eight hundred twenty-nine million, three hundred forty-seven thousand, five hundred".