982735992 has 192 divisors, whose sum is σ = 3194380800. Its totient is φ = 266999040.

The previous prime is 982735987. The next prime is 982735997. The reversal of 982735992 is 299537289.

It is an interprime number because it is at equal distance from previous prime (982735987) and next prime (982735997).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (982735997) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1037263 + ... + 1038209.

It is an arithmetic number, because the mean of its divisors is an integer number (16637400).

Almost surely, 2^982735992 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 982735992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597190400).

982735992 is an abundant number, since it is smaller than the sum of its proper divisors (2211644808).

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

982735992 is a wasteful number, since it uses less digits than its factorization.

982735992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1059 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The square root of 982735992 is about 31348.6202567194. The cubic root of 982735992 is about 994.2118931235.

The spelling of 982735992 in words is "nine hundred eighty-two million, seven hundred thirty-five thousand, nine hundred ninety-two".