8025481728 has 320 divisors, whose sum is σ = 26250998400. Its totient is φ = 2400583680.

The previous prime is 8025481691. The next prime is 8025481729. The reversal of 8025481728 is 8271845208.

It is a happy number.

8025481728 is a `hidden beast` number, since 80 + 2 + 548 + 1 + 7 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (8025481729) 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, 13533400 + ... + 13533992.

It is an arithmetic number, because the mean of its divisors is an integer number (82034370).

Almost surely, 2^8025481728 is an apocalyptic number.

8025481728 is a gapful number since it is divisible by the number (88) 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 8025481728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13125499200).

8025481728 is an abundant number, since it is smaller than the sum of its proper divisors (18225516672).

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

8025481728 is a wasteful number, since it uses less digits than its factorization.

8025481728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 8025481728 is about 89585.0530389975. The cubic root of 8025481728 is about 2002.1212267365.

The spelling of 8025481728 in words is "eight billion, twenty-five million, four hundred eighty-one thousand, seven hundred twenty-eight".