978226128 has 120 divisors (see below), whose sum is σ = 3067455456. Its totient is φ = 288403200.

The previous prime is 978226069. The next prime is 978226129. The reversal of 978226128 is 821622879.

978226128 is a `hidden beast` number, since 9 + 7 + 8 + 22 + 612 + 8 = 666.

978226128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (978226129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50263 + ... + 66953.

Almost surely, 2^978226128 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 978226128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533727728).

978226128 is an abundant number, since it is smaller than the sum of its proper divisors (2089229328).

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

978226128 is a wasteful number, since it uses less digits than its factorization.

978226128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16753 (or 16744 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 978226128 is about 31276.6067213181. The cubic root of 978226128 is about 992.6887180981.

The spelling of 978226128 in words is "nine hundred seventy-eight million, two hundred twenty-six thousand, one hundred twenty-eight".