8182038528 has 252 divisors, whose sum is σ = 25753014280. Its totient is φ = 2566914048.

The previous prime is 8182038523. The next prime is 8182038541. The reversal of 8182038528 is 8258302818.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-3 number, since 3×8182038528³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (8182038523) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 481296376 + ... + 481296392.

Almost surely, 2^8182038528 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 8182038528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12876507140).

8182038528 is an abundant number, since it is smaller than the sum of its proper divisors (17570975752).

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

8182038528 is an frugal number, since it uses more digits than its factorization.

8182038528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 8182038528 is about 90454.6213744770. The cubic root of 8182038528 is about 2015.0562476115.

The spelling of 8182038528 in words is "eight billion, one hundred eighty-two million, thirty-eight thousand, five hundred twenty-eight".