5978128 has 40 divisors (see below), whose sum is σ = 12796056. Its totient is φ = 2688000.

The previous prime is 5978117. The next prime is 5978131. The reversal of 5978128 is 8218795.

It can be written as a sum of positive squares in 4 ways, for example, as 82944 + 5895184 = 288^2 + 2428^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8178 + ... + 8878.

Almost surely, 2^5978128 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 5978128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6398028).

5978128 is an abundant number, since it is smaller than the sum of its proper divisors (6817928).

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

5978128 is a wasteful number, since it uses less digits than its factorization.

5978128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 757 counting only the distinct ones).

The product of its digits is 40320, while the sum is 40.

The square root of 5978128 is about 2445.0210633040. The cubic root of 5978128 is about 181.4909900993.

It can be divided in two parts, 59 and 78128, that added together give a palindrome (78187).

The spelling of 5978128 in words is "five million, nine hundred seventy-eight thousand, one hundred twenty-eight".