28346086912000 has 832 divisors, whose sum is σ = 83587240009728. Its totient is φ = 9460285440000.

The previous prime is 28346086911977. The next prime is 28346086912027. The reversal of 28346086912000 is 21968064382.

It is a tau number, because it is divible by the number of its divisors (832).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13984254987 + ... + 13984257013.

It is an arithmetic number, because the mean of its divisors is an integer number (100465432704).

Almost surely, 2^{28346086912000} is an apocalyptic number.

28346086912000 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 28346086912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41793620004864).

28346086912000 is an abundant number, since it is smaller than the sum of its proper divisors (55241153097728).

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

28346086912000 is a wasteful number, since it uses less digits than its factorization.

28346086912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2281 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 49.

The spelling of 28346086912000 in words is "twenty-eight trillion, three hundred forty-six billion, eighty-six million, nine hundred twelve thousand".