5628925440 has 640 divisors, whose sum is σ = 21495767040. Its totient is φ = 1393459200.

The previous prime is 5628925429. The next prime is 5628925441. The reversal of 5628925440 is 445298265.

5628925440 is a `hidden beast` number, since 562 + 89 + 2 + 5 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5628925441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79280605 + ... + 79280675.

It is an arithmetic number, because the mean of its divisors is an integer number (33587136).

Almost surely, 2^5628925440 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 5628925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10747883520).

5628925440 is an abundant number, since it is smaller than the sum of its proper divisors (15866841600).

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

5628925440 is a wasteful number, since it uses less digits than its factorization.

5628925440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 5628925440 is about 75026.1650359393. The cubic root of 5628925440 is about 1778.8602559370.

The spelling of 5628925440 in words is "five billion, six hundred twenty-eight million, nine hundred twenty-five thousand, four hundred forty".