981419328 has 210 divisors, whose sum is σ = 3021367338. Its totient is φ = 314979840.

The previous prime is 981419321. The next prime is 981419347. The reversal of 981419328 is 823914189.

981419328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 976437504 + 4981824 = 31248^2 + 2232^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981419321) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4981726 + ... + 4981922.

Almost surely, 2^981419328 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 981419328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510683669).

981419328 is an abundant number, since it is smaller than the sum of its proper divisors (2039948010).

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

981419328 is a wasteful number, since it uses less digits than its factorization.

981419328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 233 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 981419328 is about 31327.6128678838. The cubic root of 981419328 is about 993.7676815651.

The spelling of 981419328 in words is "nine hundred eighty-one million, four hundred nineteen thousand, three hundred twenty-eight".