5408641728 has 224 divisors, whose sum is σ = 18962949120. Its totient is φ = 1478062080.

The previous prime is 5408641717. The next prime is 5408641729. The reversal of 5408641728 is 8271468045.

5408641728 is a `hidden beast` number, since 540 + 86 + 4 + 1 + 7 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (5408641729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268488 + ... + 287928.

Almost surely, 2^5408641728 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 5408641728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9481474560).

5408641728 is an abundant number, since it is smaller than the sum of its proper divisors (13554307392).

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

5408641728 is a wasteful number, since it uses less digits than its factorization.

5408641728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19492 (or 19476 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 5408641728 is about 73543.4682891690. The cubic root of 5408641728 is about 1755.3460169525.

The spelling of 5408641728 in words is "five billion, four hundred eight million, six hundred forty-one thousand, seven hundred twenty-eight".