5628400448 has 56 divisors (see below), whose sum is σ = 12351227520. Its totient is φ = 2523294720.

The previous prime is 5628400441. The next prime is 5628400493. The reversal of 5628400448 is 8440048265.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5628400441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3368 + ... + 106151.

Almost surely, 2^5628400448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5628400448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6175613760).

5628400448 is an abundant number, since it is smaller than the sum of its proper divisors (6722827072).

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

5628400448 is a wasteful number, since it uses less digits than its factorization.

5628400448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109615 (or 109605 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 41.

The square root of 5628400448 is about 75022.6662282806. Note that the first 3 decimals coincide. The cubic root of 5628400448 is about 1778.8049513353.

The spelling of 5628400448 in words is "five billion, six hundred twenty-eight million, four hundred thousand, four hundred forty-eight".