982057824 has 192 divisors, whose sum is σ = 3146895360. Its totient is φ = 295488000.

The previous prime is 982057823. The next prime is 982057847. The reversal of 982057824 is 428750289.

It is a super-2 number, since 2×982057824² = 1928875139359229952, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 982057824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (982057823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1814994 + ... + 1815534.

It is an arithmetic number, because the mean of its divisors is an integer number (16390080).

Almost surely, 2^982057824 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 982057824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573447680).

982057824 is an abundant number, since it is smaller than the sum of its proper divisors (2164837536).

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

982057824 is a wasteful number, since it uses less digits than its factorization.

982057824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 982057824 is about 31337.8018373976. The cubic root of 982057824 is about 993.9831447278.

The spelling of 982057824 in words is "nine hundred eighty-two million, fifty-seven thousand, eight hundred twenty-four".