8416434528 has 288 divisors, whose sum is σ = 27308316672. Its totient is φ = 2443161600.

The previous prime is 8416434493. The next prime is 8416434529. The reversal of 8416434528 is 8254346148.

8416434528 is a `hidden beast` number, since 84 + 1 + 6 + 43 + 4 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×8416434528² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8416434529) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3489643 + ... + 3492053.

It is an arithmetic number, because the mean of its divisors is an integer number (94820544).

Almost surely, 2^8416434528 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 8416434528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13654158336).

8416434528 is an abundant number, since it is smaller than the sum of its proper divisors (18891882144).

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

8416434528 is a wasteful number, since it uses less digits than its factorization.

8416434528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2498 (or 2487 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 8416434528 is about 91741.1277890129. The cubic root of 8416434528 is about 2034.1175638257.

The spelling of 8416434528 in words is "eight billion, four hundred sixteen million, four hundred thirty-four thousand, five hundred twenty-eight".