8416135728 has 720 divisors, whose sum is σ = 33960326400. Its totient is φ = 1907297280.

The previous prime is 8416135727. The next prime is 8416135729. The reversal of 8416135728 is 8275316148.

8416135728 is a `hidden beast` number, since 8 + 4 + 1 + 613 + 5 + 7 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (8416135727) and next prime (8416135729).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8416135727) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19170933 + ... + 19171371.

It is an arithmetic number, because the mean of its divisors is an integer number (47167120).

Almost surely, 2^8416135728 is an apocalyptic number.

8416135728 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8416135728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16980163200).

8416135728 is an abundant number, since it is smaller than the sum of its proper divisors (25544190672).

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

8416135728 is a wasteful number, since it uses less digits than its factorization.

8416135728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 494 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 8416135728 is about 91739.4992792091. The cubic root of 8416135728 is about 2034.0934918145.

The spelling of 8416135728 in words is "eight billion, four hundred sixteen million, one hundred thirty-five thousand, seven hundred twenty-eight".