28948894464000 has 768 divisors, whose sum is σ = 110189397427200. Its totient is φ = 6610206720000.

The previous prime is 28948894463989. The next prime is 28948894464023. The reversal of 28948894464000 is 46449884982.

It is a tau number, because it is divible by the number of its divisors (768).

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, 6994173931 + ... + 6994178069.

It is an arithmetic number, because the mean of its divisors is an integer number (143475777900).

Almost surely, 2^{28948894464000} is an apocalyptic number.

28948894464000 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 28948894464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55094698713600).

28948894464000 is an abundant number, since it is smaller than the sum of its proper divisors (81240502963200).

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

28948894464000 is a wasteful number, since it uses less digits than its factorization.

28948894464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5487 (or 5457 counting only the distinct ones).

The product of its (nonzero) digits is 127401984, while the sum is 66.

The spelling of 28948894464000 in words is "twenty-eight trillion, nine hundred forty-eight billion, eight hundred ninety-four million, four hundred sixty-four thousand".