28986166310400 has 960 divisors, whose sum is σ = 116029190323200. Its totient is φ = 7044652892160.

The previous prime is 28986166310389. The next prime is 28986166310401. The reversal of 28986166310400 is 401366168982.

28986166310400 is a `hidden beast` number, since 2 + 8 + 9 + 8 + 616 + 6 + 3 + 10 + 4 + 0 + 0 = 666.

28986166310400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28986166310401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 354890367 + ... + 354972033.

It is an arithmetic number, because the mean of its divisors is an integer number (120863739920).

Almost surely, 2^{28986166310400} is an apocalyptic number.

28986166310400 is a gapful number since it is divisible by the number (20) 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 28986166310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58014595161600).

28986166310400 is an abundant number, since it is smaller than the sum of its proper divisors (87043024012800).

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

28986166310400 is a wasteful number, since it uses less digits than its factorization.

28986166310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81796 (or 81769 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 28986166310400 in words is "twenty-eight trillion, nine hundred eighty-six billion, one hundred sixty-six million, three hundred ten thousand, four hundred".