981169728 has 336 divisors, whose sum is σ = 3474720000. Its totient is φ = 240952320.

The previous prime is 981169649. The next prime is 981169741. The reversal of 981169728 is 827961189.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1966023 + ... + 1966521.

Almost surely, 2^981169728 is an apocalyptic number.

981169728 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 981169728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737360000).

981169728 is an abundant number, since it is smaller than the sum of its proper divisors (2493550272).

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

981169728 is a wasteful number, since it uses less digits than its factorization.

981169728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 541 counting only the distinct ones).

The product of its digits is 435456, while the sum is 51.

The square root of 981169728 is about 31323.6289085412. The cubic root of 981169728 is about 993.6834275881.

The spelling of 981169728 in words is "nine hundred eighty-one million, one hundred sixty-nine thousand, seven hundred twenty-eight".