28643328000 has 1024 divisors, whose sum is σ = 124317273600. Its totient is φ = 6370099200.

The previous prime is 28643327981. The next prime is 28643328023. The reversal of 28643328000 is 82334682.

28643328000 is a `hidden beast` number, since 2 + 8 + 643 + 3 + 2 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 774143982 + ... + 774144018.

Almost surely, 2^28643328000 is an apocalyptic number.

28643328000 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 28643328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62158636800).

28643328000 is an abundant number, since it is smaller than the sum of its proper divisors (95673945600).

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

28643328000 is an frugal number, since it uses more digits than its factorization.

28643328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 28643328000 in words is "twenty-eight billion, six hundred forty-three million, three hundred twenty-eight thousand".