981304128 has 168 divisors, whose sum is σ = 3230465472. Its totient is φ = 278986752.

The previous prime is 981304123. The next prime is 981304139. The reversal of 981304128 is 821403189.

It is a tau number, because it is divible by the number of its divisors (168).

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 = 981304092 and 981304101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981304123) 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, 1035751 + ... + 1036697.

Almost surely, 2^981304128 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 981304128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615232736).

981304128 is an abundant number, since it is smaller than the sum of its proper divisors (2249161344).

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

981304128 is a wasteful number, since it uses less digits than its factorization.

981304128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 981304128 is about 31325.7741803774. The cubic root of 981304128 is about 993.7287968895.

The spelling of 981304128 in words is "nine hundred eighty-one million, three hundred four thousand, one hundred twenty-eight".