28945680960000 has 1600 divisors, whose sum is σ = 112779725135616. Its totient is φ = 6458572800000.

The previous prime is 28945680959999. The next prime is 28945680960019. The reversal of 28945680960000 is 6908654982.

It is a tau number, because it is divible by the number of its divisors (1600).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 98790719854 + ... + 98790720146.

Almost surely, 2^{28945680960000} is an apocalyptic number.

28945680960000 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 28945680960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56389862567808).

28945680960000 is an abundant number, since it is smaller than the sum of its proper divisors (83834044175616).

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

28945680960000 is an equidigital number, since it uses as much as digits as its factorization.

28945680960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The spelling of 28945680960000 in words is "twenty-eight trillion, nine hundred forty-five billion, six hundred eighty million, nine hundred sixty thousand".