981289728 has 180 divisors, whose sum is σ = 3007459840. Its totient is φ = 318007296.

The previous prime is 981289697. The next prime is 981289741. The reversal of 981289728 is 827982189.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (1161216) is a multiple of the sum of its prime factors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 766593 + ... + 767871.

Almost surely, 2^981289728 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 981289728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503729920).

981289728 is an abundant number, since it is smaller than the sum of its proper divisors (2026170112).

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

981289728 is a wasteful number, since it uses less digits than its factorization.

981289728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1321 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 54.

The square root of 981289728 is about 31325.5443368507. The cubic root of 981289728 is about 993.7239360911.

The spelling of 981289728 in words is "nine hundred eighty-one million, two hundred eighty-nine thousand, seven hundred twenty-eight".