28824240096 has 192 divisors, whose sum is σ = 85511764800. Its totient is φ = 9562613760.

The previous prime is 28824240089. The next prime is 28824240119. The reversal of 28824240096 is 69004242882.

28824240096 is a `hidden beast` number, since 288 + 242 + 40 + 0 + 96 = 666.

It is a super-2 number, since 2×28824240096² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16865290 + ... + 16866998.

It is an arithmetic number, because the mean of its divisors is an integer number (445373775).

Almost surely, 2^28824240096 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 28824240096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42755882400).

28824240096 is an abundant number, since it is smaller than the sum of its proper divisors (56687524704).

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

28824240096 is an equidigital number, since it uses as much as digits as its factorization.

28824240096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 28824240096 in words is "twenty-eight billion, eight hundred twenty-four million, two hundred forty thousand, ninety-six".