28182167104 has 112 divisors (see below), whose sum is σ = 70690321408. Its totient is φ = 10847582208.

The previous prime is 28182167071. The next prime is 28182167137. The reversal of 28182167104 is 40176128182.

It is an interprime number because it is at equal distance from previous prime (28182167071) and next prime (28182167137).

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150097 + ... + 280879.

It is an arithmetic number, because the mean of its divisors is an integer number (631163584).

Almost surely, 2^28182167104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28182167104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35345160704).

28182167104 is an abundant number, since it is smaller than the sum of its proper divisors (42508154304).

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

28182167104 is a wasteful number, since it uses less digits than its factorization.

28182167104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130852 (or 130842 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 40.

The spelling of 28182167104 in words is "twenty-eight billion, one hundred eighty-two million, one hundred sixty-seven thousand, one hundred four".