5628719040 has 448 divisors, whose sum is σ = 22384512000. Its totient is φ = 1168441344.

The previous prime is 5628719039. The next prime is 5628719053. The reversal of 5628719040 is 409178265.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 5628718983 and 5628719001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3312111 + ... + 3313809.

Almost surely, 2^5628719040 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 5628719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11192256000).

5628719040 is an abundant number, since it is smaller than the sum of its proper divisors (16755792960).

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

5628719040 is a wasteful number, since it uses less digits than its factorization.

5628719040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 5628719040 is about 75024.7895032035. The cubic root of 5628719040 is about 1778.8385134068.

The spelling of 5628719040 in words is "five billion, six hundred twenty-eight million, seven hundred nineteen thousand, forty".