8419728408 has 192 divisors, whose sum is σ = 26630472960. Its totient is φ = 2198617344.

The previous prime is 8419728367. The next prime is 8419728481. The reversal of 8419728408 is 8048279148.

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, 1571991 + ... + 1577337.

It is an arithmetic number, because the mean of its divisors is an integer number (138700380).

Almost surely, 2^8419728408 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 8419728408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13315236480).

8419728408 is an abundant number, since it is smaller than the sum of its proper divisors (18210744552).

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

8419728408 is a wasteful number, since it uses less digits than its factorization.

8419728408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5486 (or 5475 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 51.

The square root of 8419728408 is about 91759.0780686031. The cubic root of 8419728408 is about 2034.3828885808.

The spelling of 8419728408 in words is "eight billion, four hundred nineteen million, seven hundred twenty-eight thousand, four hundred eight".