5628096000 has 320 divisors, whose sum is σ = 20797508160. Its totient is φ = 1500364800.

The previous prime is 5628095951. The next prime is 5628096017. The reversal of 5628096000 is 6908265.

5628096000 is a `hidden beast` number, since 562 + 8 + 0 + 96 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1726372 + ... + 1729628.

It is an arithmetic number, because the mean of its divisors is an integer number (64992213).

Almost surely, 2^5628096000 is an apocalyptic number.

5628096000 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 5628096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10398754080).

5628096000 is an abundant number, since it is smaller than the sum of its proper divisors (15169412160).

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

5628096000 is an equidigital number, since it uses as much as digits as its factorization.

5628096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3299 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5628096000 is about 75020.6371607173. The cubic root of 5628096000 is about 1778.7728780799.

The spelling of 5628096000 in words is "five billion, six hundred twenty-eight million, ninety-six thousand".