28167399225504 has 768 divisors, whose sum is σ = 103476480307200. Its totient is φ = 7241384448000.

The previous prime is 28167399225491. The next prime is 28167399225521. The reversal of 28167399225504 is 40552299376182.

28167399225504 is a `hidden beast` number, since 2 + 8 + 1 + 6 + 7 + 39 + 92 + 2 + 5 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10522000614 + ... + 10522003290.

It is an arithmetic number, because the mean of its divisors is an integer number (134735000400).

It is a 1-persistent number, because it is pandigital, but 2⋅28167399225504 = 56334798451008 is not.

Almost surely, 2^{28167399225504} is an apocalyptic number.

28167399225504 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 28167399225504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51738240153600).

28167399225504 is an abundant number, since it is smaller than the sum of its proper divisors (75309081081696).

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

28167399225504 is a wasteful number, since it uses less digits than its factorization.

28167399225504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4274 (or 4260 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 28167399225504 in words is "twenty-eight trillion, one hundred sixty-seven billion, three hundred ninety-nine million, two hundred twenty-five thousand, five hundred four".