981253728 has 144 divisors (see below), whose sum is σ = 3434479776. Its totient is φ = 258785280.

The previous prime is 981253723. The next prime is 981253759. The reversal of 981253728 is 827352189.

It is a happy number.

981253728 is a `hidden beast` number, since 98 + 1 + 2 + 537 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981253723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7488 + ... + 44928.

It is an arithmetic number, because the mean of its divisors is an integer number (23850554).

Almost surely, 2^981253728 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 981253728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717239888).

981253728 is an abundant number, since it is smaller than the sum of its proper divisors (2453226048).

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

981253728 is a wasteful number, since it uses less digits than its factorization.

981253728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37477 (or 37466 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 981253728 is about 31324.9697206558. The cubic root of 981253728 is about 993.7117838870.

The spelling of 981253728 in words is "nine hundred eighty-one million, two hundred fifty-three thousand, seven hundred twenty-eight".