28948843584000 has 2560 divisors, whose sum is σ = 118602328965120. Its totient is φ = 6928367616000.

The previous prime is 28948843583977. The next prime is 28948843584041. The reversal of 28948843584000 is 48534884982.

28948843584000 is a `hidden beast` number, since 2 + 8 + 9 + 4 + 8 + 8 + 43 + 584 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 75584447809 + ... + 75584448191.

It is an arithmetic number, because the mean of its divisors is an integer number (46329034752).

Almost surely, 2^{28948843584000} is an apocalyptic number.

28948843584000 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 28948843584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59301164482560).

28948843584000 is an abundant number, since it is smaller than the sum of its proper divisors (89653485381120).

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

28948843584000 is a wasteful number, since it uses less digits than its factorization.

28948843584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 63.

The spelling of 28948843584000 in words is "twenty-eight trillion, nine hundred forty-eight billion, eight hundred forty-three million, five hundred eighty-four thousand".