28305198144 has 112 divisors (see below), whose sum is σ = 83507519040. Its totient is φ = 9401564160.

The previous prime is 28305198143. The next prime is 28305198157. The reversal of 28305198144 is 44189150382.

28305198144 is a `hidden beast` number, since 28 + 30 + 519 + 81 + 4 + 4 = 666.

It is a super-2 number, since 2×28305198144² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 28305198144.

It is not an unprimeable number, because it can be changed into a prime (28305198143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 460084 + ... + 517964.

Almost surely, 2^28305198144 is an apocalyptic number.

28305198144 is a gapful number since it is divisible by the number (24) 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 28305198144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41753759520).

28305198144 is an abundant number, since it is smaller than the sum of its proper divisors (55202320896).

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

28305198144 is a wasteful number, since it uses less digits than its factorization.

28305198144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58185 (or 58169 counting only the distinct ones).

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

The spelling of 28305198144 in words is "twenty-eight billion, three hundred five million, one hundred ninety-eight thousand, one hundred forty-four".