28942533524982 has 192 divisors, whose sum is σ = 72985709002752. Its totient is φ = 7489592510400.

The previous prime is 28942533524921. The next prime is 28942533525013.

28942533524982 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4562906103 + ... + 4562912445.

It is an arithmetic number, because the mean of its divisors is an integer number (380133901056).

Almost surely, 2^{28942533524982} is an apocalyptic number.

28942533524982 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 28942533524982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36492854501376).

28942533524982 is an abundant number, since it is smaller than the sum of its proper divisors (44043175477770).

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

28942533524982 is a wasteful number, since it uses less digits than its factorization.

28942533524982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9575 (or 9564 counting only the distinct ones).

The product of its digits is 298598400, while the sum is 66.

The spelling of 28942533524982 in words is "twenty-eight trillion, nine hundred forty-two billion, five hundred thirty-three million, five hundred twenty-four thousand, nine hundred eighty-two".