981581328 has 600 divisors, whose sum is σ = 3771555480. Its totient is φ = 243855360.

The previous prime is 981581291. The next prime is 981581333. The reversal of 981581328 is 823185189.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5143824 + 976437504 = 2268^2 + 31248^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 23940988 + ... + 23941028.

Almost surely, 2^981581328 is an apocalyptic number.

981581328 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 981581328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885777740).

981581328 is an abundant number, since it is smaller than the sum of its proper divisors (2789974152).

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

981581328 is a wasteful number, since it uses less digits than its factorization.

981581328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 95 counting only the distinct ones).

The product of its digits is 138240, while the sum is 45.

The square root of 981581328 is about 31330.1983396212. The cubic root of 981581328 is about 993.8223579922.

The spelling of 981581328 in words is "nine hundred eighty-one million, five hundred eighty-one thousand, three hundred twenty-eight".