982728 has 24 divisors (see below), whose sum is σ = 2661750. Its totient is φ = 327552.

The previous prime is 982703. The next prime is 982741. The reversal of 982728 is 827289.

It can be written as a sum of positive squares in only one way, i.e., 956484 + 26244 = 978^2 + 162^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 982692 and 982701.

It is an unprimeable number.

982728 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 5 ways as a sum of consecutive naturals, for example, 6753 + ... + 6896.

2⁹⁸²⁷²⁸ is an apocalyptic number.

It is an amenable number.

982728 is an abundant number, since it is smaller than the sum of its proper divisors (1679022).

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

982728 is a wasteful number, since it uses less digits than its factorization.

982728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13661 (or 13654 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 982728 is about 991.3263841944. The cubic root of 982728 is about 99.4209198007.

The spelling of 982728 in words is "nine hundred eighty-two thousand, seven hundred twenty-eight".