28142408448 has 1152 divisors, whose sum is σ = 114908774400. Its totient is φ = 6623907840.

The previous prime is 28142408423. The next prime is 28142408453. The reversal of 28142408448 is 84480424182.

28142408448 is a `hidden beast` number, since 28 + 142 + 40 + 8 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1223582965 + ... + 1223582987.

It is an arithmetic number, because the mean of its divisors is an integer number (99747200).

Almost surely, 2^28142408448 is an apocalyptic number.

28142408448 is a gapful number since it is divisible by the number (28) 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 28142408448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57454387200).

28142408448 is an abundant number, since it is smaller than the sum of its proper divisors (86766365952).

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

28142408448 is a wasteful number, since it uses less digits than its factorization.

28142408448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 45.

The spelling of 28142408448 in words is "twenty-eight billion, one hundred forty-two million, four hundred eight thousand, four hundred forty-eight".