9025553628 has 504 divisors, whose sum is σ = 30625177968. Its totient is φ = 2304433152.

The previous prime is 9025553569. The next prime is 9025553651. The reversal of 9025553628 is 8263555209.

9025553628 is a `hidden beast` number, since 90 + 2 + 5 + 5 + 536 + 28 = 666.

9025553628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 79872100 + ... + 79872212.

It is an arithmetic number, because the mean of its divisors is an integer number (60764242).

Almost surely, 2^9025553628 is an apocalyptic number.

9025553628 is a gapful number since it is divisible by the number (98) 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 9025553628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15312588984).

9025553628 is an abundant number, since it is smaller than the sum of its proper divisors (21599624340).

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

9025553628 is a wasteful number, since it uses less digits than its factorization.

9025553628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 9025553628 is about 95002.9137868939. The cubic root of 9025553628 is about 2082.0506179091.

The spelling of 9025553628 in words is "nine billion, twenty-five million, five hundred fifty-three thousand, six hundred twenty-eight".