982625280 has 704 divisors, whose sum is σ = 4181775360. Its totient is φ = 191102976.

The previous prime is 982625249. The next prime is 982625351. The reversal of 982625280 is 82526289.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 26557422 + ... + 26557458.

Almost surely, 2^982625280 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 982625280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090887680).

982625280 is an abundant number, since it is smaller than the sum of its proper divisors (3199150080).

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

982625280 is a wasteful number, since it uses less digits than its factorization.

982625280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 982625280 is about 31346.8543876415. The cubic root of 982625280 is about 994.1745567749.

The spelling of 982625280 in words is "nine hundred eighty-two million, six hundred twenty-five thousand, two hundred eighty".