28429876800000 has 3840 divisors, whose sum is σ = 123734160506880. Its totient is φ = 6386688000000.

The previous prime is 28429876799971. The next prime is 28429876800011. The reversal of 28429876800000 is 867892482.

28429876800000 is a `hidden beast` number, since 284 + 298 + 76 + 8 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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 28429876800000.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 400420799965 + ... + 400420800035.

It is an arithmetic number, because the mean of its divisors is an integer number (32222437632).

Almost surely, 2^{28429876800000} is an apocalyptic number.

28429876800000 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 28429876800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61867080253440).

28429876800000 is an abundant number, since it is smaller than the sum of its proper divisors (95304283706880).

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

28429876800000 is an equidigital number, since it uses as much as digits as its factorization.

28429876800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 28429876800000 in words is "twenty-eight trillion, four hundred twenty-nine billion, eight hundred seventy-six million, eight hundred thousand".