982547028000 has 1728 divisors, whose sum is σ = 4038217327872. Its totient is φ = 225000652800.

The previous prime is 982547027999. The next prime is 982547028007. The reversal of 982547028000 is 820745289.

982547028000 is a `hidden beast` number, since 9 + 82 + 547 + 0 + 28 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (982547028007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11837915959 + ... + 11837916041.

It is an arithmetic number, because the mean of its divisors is an integer number (2336931324).

Almost surely, 2^982547028000 is an apocalyptic number.

982547028000 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 982547028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019108663936).

982547028000 is an abundant number, since it is smaller than the sum of its proper divisors (3055670299872).

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

982547028000 is a wasteful number, since it uses less digits than its factorization.

982547028000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 162 counting only the distinct ones).

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

The spelling of 982547028000 in words is "nine hundred eighty-two billion, five hundred forty-seven million, twenty-eight thousand".