28167160320 has 800 divisors, whose sum is σ = 111630480192. Its totient is φ = 6772211712.

The previous prime is 28167160309. The next prime is 28167160327. The reversal of 28167160320 is 2306176182.

28167160320 is a `hidden beast` number, since 28 + 1 + 6 + 7 + 1 + 603 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28167160327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 655050219 + ... + 655050261.

Almost surely, 2^28167160320 is an apocalyptic number.

28167160320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28167160320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55815240096).

28167160320 is an abundant number, since it is smaller than the sum of its proper divisors (83463319872).

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

28167160320 is an frugal number, since it uses more digits than its factorization.

28167160320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 28167160320 in words is "twenty-eight billion, one hundred sixty-seven million, one hundred sixty thousand, three hundred twenty".