981672328 has 128 divisors (see below), whose sum is σ = 2330496000. Its totient is φ = 379641600.

The previous prime is 981672317. The next prime is 981672343. The reversal of 981672328 is 823276189.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9719478 + ... + 9719578.

It is an arithmetic number, because the mean of its divisors is an integer number (18207000).

Almost surely, 2^981672328 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 981672328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165248000).

981672328 is an abundant number, since it is smaller than the sum of its proper divisors (1348823672).

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

981672328 is a wasteful number, since it uses less digits than its factorization.

981672328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 202 counting only the distinct ones).

The product of its digits is 290304, while the sum is 46.

The square root of 981672328 is about 31331.6505789274. The cubic root of 981672328 is about 993.8530686552.

The spelling of 981672328 in words is "nine hundred eighty-one million, six hundred seventy-two thousand, three hundred twenty-eight".