28386388597248 has 2560 divisors, whose sum is σ = 106454957875200. Its totient is φ = 7357464576000.

The previous prime is 28386388597241. The next prime is 28386388597279. The reversal of 28386388597248 is 84279588368382.

28386388597248 is a `hidden beast` number, since 2 + 8 + 3 + 86 + 388 + 59 + 72 + 48 = 666.

It is not an unprimeable number, because it can be changed into a prime (28386388597241) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 174149623215 + ... + 174149623377.

It is an arithmetic number, because the mean of its divisors is an integer number (41583967920).

Almost surely, 2^{28386388597248} 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 28386388597248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53227478937600).

28386388597248 is an abundant number, since it is smaller than the sum of its proper divisors (78068569277952).

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

28386388597248 is a wasteful number, since it uses less digits than its factorization.

28386388597248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 349 counting only the distinct ones).

The product of its digits is 8918138880, while the sum is 81.

The spelling of 28386388597248 in words is "twenty-eight trillion, three hundred eighty-six billion, three hundred eighty-eight million, five hundred ninety-seven thousand, two hundred forty-eight".