8290009728 has 864 divisors, whose sum is σ = 33195614400. Its totient is φ = 1962455040.

The previous prime is 8290009703. The next prime is 8290009747. The reversal of 8290009728 is 8279000928.

It is a super-2 number, since 2×8290009728² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 104936793 + ... + 104936871.

It is an arithmetic number, because the mean of its divisors is an integer number (38420850).

Almost surely, 2^8290009728 is an apocalyptic number.

8290009728 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 8290009728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16597807200).

8290009728 is an abundant number, since it is smaller than the sum of its proper divisors (24905604672).

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

8290009728 is a wasteful number, since it uses less digits than its factorization.

8290009728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 8290009728 is about 91049.4905422320. The cubic root of 8290009728 is about 2023.8811868160.

The spelling of 8290009728 in words is "eight billion, two hundred ninety million, nine thousand, seven hundred twenty-eight".