1029982366728 has 160 divisors (see below), whose sum is σ = 3373709338560. Its totient is φ = 287436885120.

The previous prime is 1029982366703. The next prime is 1029982366741. The reversal of 1029982366728 is 8276632899201.

1029982366728 is a `hidden beast` number, since 102 + 99 + 82 + 366 + 7 + 2 + 8 = 666.

It is a super-2 number, since 2×1029982366728² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2445283 + ... + 2835378.

It is an arithmetic number, because the mean of its divisors is an integer number (21085683366).

Almost surely, 2^{1029982366728} is an apocalyptic number.

1029982366728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1029982366728 is an abundant number, since it is smaller than the sum of its proper divisors (2343726971832).

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

1029982366728 is a wasteful number, since it uses less digits than its factorization.

1029982366728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5280729 (or 5280716 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 1029982366728 in words is "one trillion, twenty-nine billion, nine hundred eighty-two million, three hundred sixty-six thousand, seven hundred twenty-eight".