28017671365200 has 960 divisors, whose sum is σ = 107645658808320. Its totient is φ = 6149025792000.

The previous prime is 28017671365193. The next prime is 28017671365267. The reversal of 28017671365200 is 256317671082.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 28017671365200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1763551657 + ... + 1763567543.

It is an arithmetic number, because the mean of its divisors is an integer number (112130894592).

Almost surely, 2^{28017671365200} is an apocalyptic number.

28017671365200 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 28017671365200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53822829404160).

28017671365200 is an abundant number, since it is smaller than the sum of its proper divisors (79627987443120).

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

28017671365200 is a wasteful number, since it uses less digits than its factorization.

28017671365200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16236 (or 16225 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 28017671365200 in words is "twenty-eight trillion, seventeen billion, six hundred seventy-one million, three hundred sixty-five thousand, two hundred".