28482192288 has 288 divisors, whose sum is σ = 93612879360. Its totient is φ = 8123742720.

The previous prime is 28482192283. The next prime is 28482192289. The reversal of 28482192288 is 88229128482.

28482192288 is a `hidden beast` number, since 284 + 82 + 1 + 9 + 2 + 288 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×28482192288² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (28482192283) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9809845 + ... + 9812747.

It is an arithmetic number, because the mean of its divisors is an integer number (325044720).

Almost surely, 2^28482192288 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 28482192288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46806439680).

28482192288 is an abundant number, since it is smaller than the sum of its proper divisors (65130687072).

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

28482192288 is a wasteful number, since it uses less digits than its factorization.

28482192288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3112 (or 3101 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 54.

The spelling of 28482192288 in words is "twenty-eight billion, four hundred eighty-two million, one hundred ninety-two thousand, two hundred eighty-eight".