28089452160 has 1280 divisors, whose sum is σ = 129668014080. Its totient is φ = 5623603200.

The previous prime is 28089452159. The next prime is 28089452197. The reversal of 28089452160 is 6125498082.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 123741967 + ... + 123742193.

It is an arithmetic number, because the mean of its divisors is an integer number (101303136).

Almost surely, 2^28089452160 is an apocalyptic number.

28089452160 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 28089452160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64834007040).

28089452160 is an abundant number, since it is smaller than the sum of its proper divisors (101578561920).

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

28089452160 is a wasteful number, since it uses less digits than its factorization.

28089452160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

It can be divided in two parts, 28089 and 452160, that added together give a square (480249 = 693²).

The spelling of 28089452160 in words is "twenty-eight billion, eighty-nine million, four hundred fifty-two thousand, one hundred sixty".