28946829600000 has 864 divisors, whose sum is σ = 115225680084480. Its totient is φ = 7125304320000.

The previous prime is 28946829599977. The next prime is 28946829600053. The reversal of 28946829600000 is 692864982.

It is a happy number.

28946829600000 is a `hidden beast` number, since 2 + 8 + 9 + 4 + 6 + 8 + 29 + 600 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a self number, because there is not a number n which added to its sum of digits gives 28946829600000.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 280748457 + ... + 280851543.

Almost surely, 2^{28946829600000} is an apocalyptic number.

28946829600000 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 28946829600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57612840042240).

28946829600000 is an abundant number, since it is smaller than the sum of its proper divisors (86278850484480).

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

28946829600000 is an equidigital number, since it uses as much as digits as its factorization.

28946829600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103150 (or 103110 counting only the distinct ones).

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

The spelling of 28946829600000 in words is "twenty-eight trillion, nine hundred forty-six billion, eight hundred twenty-nine million, six hundred thousand".