1029982652928 has 160 divisors (see below), whose sum is σ = 3209285217600. Its totient is φ = 325257596928.

The previous prime is 1029982652927. The next prime is 1029982652929. The reversal of 1029982652928 is 8292562899201.

1029982652928 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 9 + 82 + 6 + 529 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (1029982652927) and next prime (1029982652929).

It is not an unprimeable number, because it can be changed into a prime (1029982652927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1698051 + ... + 2223362.

It is an arithmetic number, because the mean of its divisors is an integer number (20058032610).

Almost surely, 2^{1029982652928} is an apocalyptic number.

1029982652928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1029982652928 is an abundant number, since it is smaller than the sum of its proper divisors (2179302564672).

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

1029982652928 is an equidigital number, since it uses as much as digits as its factorization.

1029982652928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3921459 (or 3921437 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 1029982652928 in words is "one trillion, twenty-nine billion, nine hundred eighty-two million, six hundred fifty-two thousand, nine hundred twenty-eight".