28348289136000 has 384 divisors, whose sum is σ = 103971898892160. Its totient is φ = 7398700646400.

The previous prime is 28348289135993. The next prime is 28348289136031. The reversal of 28348289136000 is 63198284382.

28348289136000 is a `hidden beast` number, since 2 + 8 + 3 + 4 + 8 + 28 + 9 + 1 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4673712 + ... + 8862288.

It is an arithmetic number, because the mean of its divisors is an integer number (270760153365).

Almost surely, 2^{28348289136000} is an apocalyptic number.

28348289136000 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 28348289136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51985949446080).

28348289136000 is an abundant number, since it is smaller than the sum of its proper divisors (75623609756160).

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

28348289136000 is a wasteful number, since it uses less digits than its factorization.

28348289136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4188659 (or 4188634 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 28348289136000 in words is "twenty-eight trillion, three hundred forty-eight billion, two hundred eighty-nine million, one hundred thirty-six thousand".