982773792 has 432 divisors, whose sum is σ = 3827259072. Its totient is φ = 235146240.

The previous prime is 982773773. The next prime is 982773829. The reversal of 982773792 is 297377289.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2017773 + ... + 2018259.

It is an arithmetic number, because the mean of its divisors is an integer number (8859396).

Almost surely, 2^982773792 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 982773792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913629536).

982773792 is an abundant number, since it is smaller than the sum of its proper divisors (2844485280).

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

982773792 is a wasteful number, since it uses less digits than its factorization.

982773792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 523 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 54.

The square root of 982773792 is about 31349.2231482696. The cubic root of 982773792 is about 994.2246400966.

The spelling of 982773792 in words is "nine hundred eighty-two million, seven hundred seventy-three thousand, seven hundred ninety-two".