8216184288 has 192 divisors, whose sum is σ = 24615843840. Its totient is φ = 2378668032.

The previous prime is 8216184287. The next prime is 8216184313. The reversal of 8216184288 is 8824816128.

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 not an unprimeable number, because it can be changed into a prime (8216184287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3721681 + ... + 3723887.

It is an arithmetic number, because the mean of its divisors is an integer number (128207520).

Almost surely, 2^8216184288 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 8216184288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12307921920).

8216184288 is an abundant number, since it is smaller than the sum of its proper divisors (16399659552).

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

8216184288 is a wasteful number, since it uses less digits than its factorization.

8216184288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2409 (or 2401 counting only the distinct ones).

The product of its digits is 393216, while the sum is 48.

The square root of 8216184288 is about 90643.1701122594. The cubic root of 8216184288 is about 2017.8554739708.

The spelling of 8216184288 in words is "eight billion, two hundred sixteen million, one hundred eighty-four thousand, two hundred eighty-eight".