28894364928000 has 6144 divisors, whose sum is σ = 138470827622400. Its totient is φ = 5839257600000.

The previous prime is 28894364927963. The next prime is 28894364928001. The reversal of 28894364928000 is 82946349882.

28894364928000 is a `hidden beast` number, since 2 + 8 + 89 + 436 + 49 + 2 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6144).

It is not an unprimeable number, because it can be changed into a prime (28894364928001) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 704740607980 + ... + 704740608020.

It is an arithmetic number, because the mean of its divisors is an integer number (22537569600).

Almost surely, 2^{28894364928000} is an apocalyptic number.

28894364928000 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 28894364928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69235413811200).

28894364928000 is an abundant number, since it is smaller than the sum of its proper divisors (109576462694400).

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

28894364928000 is a wasteful number, since it uses less digits than its factorization.

28894364928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 28894364928000 in words is "twenty-eight trillion, eight hundred ninety-four billion, three hundred sixty-four million, nine hundred twenty-eight thousand".