5628579840 has 728 divisors, whose sum is σ = 22560962760. Its totient is φ = 1337720832.

The previous prime is 5628579829. The next prime is 5628579889. The reversal of 5628579840 is 489758265.

5628579840 is a `hidden beast` number, since 5 + 6 + 28 + 579 + 8 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 107495424 + 5521084416 = 10368^2 + 74304^2 .

It is a super-2 number, since 2×5628579840² = 63361822030508851200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 194088946 + ... + 194088974.

Almost surely, 2^5628579840 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 5628579840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11280481380).

5628579840 is an abundant number, since it is smaller than the sum of its proper divisors (16932382920).

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

5628579840 is an equidigital number, since it uses as much as digits as its factorization.

5628579840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The square root of 5628579840 is about 75023.8618040954. The cubic root of 5628579840 is about 1778.8238495398.

The spelling of 5628579840 in words is "five billion, six hundred twenty-eight million, five hundred seventy-nine thousand, eight hundred forty".