5628277670400 has 2880 divisors, whose sum is σ = 26786271283200. Its totient is φ = 1116676915200.

The previous prime is 5628277670399. The next prime is 5628277670441. The reversal of 5628277670400 is 40767728265.

5628277670400 is a `hidden beast` number, since 5 + 628 + 2 + 7 + 7 + 6 + 7 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9996940519 + ... + 9996941081.

It is an arithmetic number, because the mean of its divisors is an integer number (9300788640).

Almost surely, 2^{5628277670400} is an apocalyptic number.

5628277670400 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 5628277670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13393135641600).

5628277670400 is an abundant number, since it is smaller than the sum of its proper divisors (21157993612800).

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

5628277670400 is a wasteful number, since it uses less digits than its factorization.

5628277670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 5628277670400 in words is "five trillion, six hundred twenty-eight billion, two hundred seventy-seven million, six hundred seventy thousand, four hundred".