5632858928000 has 128 divisors (see below), whose sum is σ = 14078026160640. Its totient is φ = 2241345792000.

The previous prime is 5632858927967. The next prime is 5632858928003. The reversal of 5632858928000 is 8298582365.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5632858928003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2134394 + ... + 3977606.

It is an arithmetic number, because the mean of its divisors is an integer number (109984579380).

Almost surely, 2^{5632858928000} is an apocalyptic number.

5632858928000 is a gapful number since it is divisible by the number (50) 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 5632858928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7039013080320).

5632858928000 is an abundant number, since it is smaller than the sum of its proper divisors (8445167232640).

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

5632858928000 is a wasteful number, since it uses less digits than its factorization.

5632858928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843433 (or 1843411 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 56.

The spelling of 5632858928000 in words is "five trillion, six hundred thirty-two billion, eight hundred fifty-eight million, nine hundred twenty-eight thousand".