8732188416 has 288 divisors, whose sum is σ = 28503498240. Its totient is φ = 2317565952.

The previous prime is 8732188391. The next prime is 8732188471. The reversal of 8732188416 is 6148812378.

It is a super-2 number, since 2×8732188416² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5412826 + ... + 5414438.

It is an arithmetic number, because the mean of its divisors is an integer number (98970480).

Almost surely, 2^8732188416 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 8732188416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14251749120).

8732188416 is an abundant number, since it is smaller than the sum of its proper divisors (19771309824).

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

8732188416 is a wasteful number, since it uses less digits than its factorization.

8732188416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711 (or 1697 counting only the distinct ones).

The product of its digits is 516096, while the sum is 48.

The square root of 8732188416 is about 93446.1792477360. The cubic root of 8732188416 is about 2059.2434787655.

The spelling of 8732188416 in words is "eight billion, seven hundred thirty-two million, one hundred eighty-eight thousand, four hundred sixteen".