28945916928000 has 1344 divisors, whose sum is σ = 111954029990400. Its totient is φ = 7172377804800.

The previous prime is 28945916927957. The next prime is 28945916928031. The reversal of 28945916928000 is 82961954982.

28945916928000 is a `hidden beast` number, since 2 + 8 + 9 + 459 + 16 + 92 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×28945916928000² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9280510441 + ... + 9280513559.

Almost surely, 2^{28945916928000} is an apocalyptic number.

28945916928000 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 28945916928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55977014995200).

28945916928000 is an abundant number, since it is smaller than the sum of its proper divisors (83008113062400).

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

28945916928000 is a wasteful number, since it uses less digits than its factorization.

28945916928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3238 (or 3201 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 28945916928000 in words is "twenty-eight trillion, nine hundred forty-five billion, nine hundred sixteen million, nine hundred twenty-eight thousand".