1000931328 has 102 divisors (see below), whose sum is σ = 2893261254. Its totient is φ = 333447168.

The previous prime is 1000931299. The next prime is 1000931353. The reversal of 1000931328 is 8231390001.

It can be written as a sum of positive squares in only one way, i.e., 991494144 + 9437184 = 31488^2 + 3072^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 588976 + ... + 590672.

Almost surely, 2^1000931328 is an apocalyptic number.

1000931328 is a gapful number since it is divisible by the number (18) 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 1000931328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446630627).

1000931328 is an abundant number, since it is smaller than the sum of its proper divisors (1892329926).

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

1000931328 is an frugal number, since it uses more digits than its factorization.

1000931328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1000931328 is about 31637.4987633346. The cubic root of 1000931328 is about 1000.3103463419.

The spelling of 1000931328 in words is "one billion, nine hundred thirty-one thousand, three hundred twenty-eight".