5728103640 has 192 divisors, whose sum is σ = 21322828800. Its totient is φ = 1306388736.

The previous prime is 5728103621. The next prime is 5728103669. The reversal of 5728103640 is 463018275.

5728103640 is a `hidden beast` number, since 5 + 7 + 2 + 8 + 1 + 0 + 3 + 640 = 666.

It is a super-2 number, since 2×5728103640² = 65622342621162499200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5728103595 and 5728103604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1265301 + ... + 1269819.

It is an arithmetic number, because the mean of its divisors is an integer number (111056400).

Almost surely, 2^5728103640 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 5728103640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10661414400).

5728103640 is an abundant number, since it is smaller than the sum of its proper divisors (15594725160).

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

5728103640 is a wasteful number, since it uses less digits than its factorization.

5728103640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5046 (or 5039 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5728103640 is about 75684.2364036263. The cubic root of 5728103640 is about 1789.2469643374.

The spelling of 5728103640 in words is "five billion, seven hundred twenty-eight million, one hundred three thousand, six hundred forty".