10982615328 has 72 divisors (see below), whose sum is σ = 31244931900. Its totient is φ = 3659334144.

The previous prime is 10982615323. The next prime is 10982615341. The reversal of 10982615328 is 82351628901.

10982615328 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 2 + 615 + 3 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10747054224 + 235561104 = 103668^2 + 15348^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (10982615323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 831238 + ... + 844346.

Almost surely, 2^10982615328 is an apocalyptic number.

10982615328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10982615328 is an abundant number, since it is smaller than the sum of its proper divisors (20262316572).

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

10982615328 is a wasteful number, since it uses less digits than its factorization.

10982615328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16034 (or 16023 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 10982615328 in words is "ten billion, nine hundred eighty-two million, six hundred fifteen thousand, three hundred twenty-eight".