978128 has 20 divisors (see below), whose sum is σ = 1915428. Its totient is φ = 483840.

The previous prime is 978113. The next prime is 978149. The reversal of 978128 is 821879.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 153664 + 824464 = 392^2 + 908^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 978128.

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 3 ways as a sum of consecutive naturals, for example, 1538 + ... + 2078.

978128 is a Friedman number, since it can be written as (981+8)^2+7, using all its digits and the basic arithmetic operations.

2⁹⁷⁸¹²⁸ is an apocalyptic number.

It is an amenable number.

978128 is a deficient number, since it is larger than the sum of its proper divisors (937300).

978128 is a wasteful number, since it uses less digits than its factorization.

978128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 656 counting only the distinct ones).

The product of its digits is 8064, while the sum is 35.

The square root of 978128 is about 989.0035389219. The cubic root of 978128 is about 99.2655524063.

The spelling of 978128 in words is "nine hundred seventy-eight thousand, one hundred twenty-eight".