8189628480 has 504 divisors, whose sum is σ = 31493472192. Its totient is φ = 1951488000.

The previous prime is 8189628437. The next prime is 8189628481. The reversal of 8189628480 is 848269818.

8189628480 is a `hidden beast` number, since 8 + 1 + 8 + 9 + 628 + 4 + 8 + 0 = 666.

It is a super-2 number, since 2×8189628480² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8189628481) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24741915 + ... + 24742245.

It is an arithmetic number, because the mean of its divisors is an integer number (62487048).

Almost surely, 2^8189628480 is an apocalyptic number.

8189628480 is a gapful number since it is divisible by the number (80) 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 8189628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15746736096).

8189628480 is an abundant number, since it is smaller than the sum of its proper divisors (23303843712).

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

8189628480 is a wasteful number, since it uses less digits than its factorization.

8189628480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The square root of 8189628480 is about 90496.5661226988. The cubic root of 8189628480 is about 2015.6791344970.

The spelling of 8189628480 in words is "eight billion, one hundred eighty-nine million, six hundred twenty-eight thousand, four hundred eighty".