9102025728 has 308 divisors, whose sum is σ = 27788147820. Its totient is φ = 2978021376.

The previous prime is 9102025697. The next prime is 9102025733. The reversal of 9102025728 is 8275202019.

It can be written as a sum of positive squares in 2 ways, for example, as 3451797504 + 5650228224 = 58752^2 + 75168^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9102025692 and 9102025701.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 66438076 + ... + 66438212.

Almost surely, 2^9102025728 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 9102025728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13894073910).

9102025728 is an abundant number, since it is smaller than the sum of its proper divisors (18686122092).

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

9102025728 is an equidigital number, since it uses as much as digits as its factorization.

9102025728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 9102025728 is about 95404.5372505941. The cubic root of 9102025728 is about 2087.9143841232.

The spelling of 9102025728 in words is "nine billion, one hundred two million, twenty-five thousand, seven hundred twenty-eight".