28961216982 has 128 divisors (see below), whose sum is σ = 70800998400. Its totient is φ = 8742269088.

The previous prime is 28961216929. The next prime is 28961216993.

It is a happy number.

28961216982 is a `hidden beast` number, since 2 + 8 + 9 + 612 + 16 + 9 + 8 + 2 = 666.

28961216982 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2066563 + ... + 2080529.

It is an arithmetic number, because the mean of its divisors is an integer number (553132800).

Almost surely, 2^28961216982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28961216982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35400499200).

28961216982 is an abundant number, since it is smaller than the sum of its proper divisors (41839781418).

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

28961216982 is a wasteful number, since it uses less digits than its factorization.

28961216982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14087 (or 14081 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The spelling of 28961216982 in words is "twenty-eight billion, nine hundred sixty-one million, two hundred sixteen thousand, nine hundred eighty-two".