983679170328 has 240 divisors, whose sum is σ = 2911350067560. Its totient is φ = 310262400000.

The previous prime is 983679170323. The next prime is 983679170359. The reversal of 983679170328 is 823071976389.

983679170328 is a `hidden beast` number, since 9 + 83 + 67 + 9 + 170 + 328 = 666.

It is a super-3 number, since 3×983679170328³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (983679170323) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 245856328 + ... + 245860328.

Almost surely, 2^983679170328 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 983679170328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455675033780).

983679170328 is an abundant number, since it is smaller than the sum of its proper divisors (1927670897232).

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

983679170328 is a wasteful number, since it uses less digits than its factorization.

983679170328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5108 (or 5076 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 983679170328 in words is "nine hundred eighty-three billion, six hundred seventy-nine million, one hundred seventy thousand, three hundred twenty-eight".