985552128 has 216 divisors, whose sum is σ = 3186726816. Its totient is φ = 290304000.

The previous prime is 985552123. The next prime is 985552129. The reversal of 985552128 is 821255589.

It is a happy number.

985552128 is a `hidden beast` number, since 9 + 85 + 552 + 12 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985552121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 937203 + ... + 938253.

Almost surely, 2^985552128 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 985552128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593363408).

985552128 is an abundant number, since it is smaller than the sum of its proper divisors (2201174688).

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

985552128 is a wasteful number, since it uses less digits than its factorization.

985552128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1104 counting only the distinct ones).

The product of its digits is 288000, while the sum is 45.

The square root of 985552128 is about 31393.5045511010. The cubic root of 985552128 is about 995.1606612449.

The spelling of 985552128 in words is "nine hundred eighty-five million, five hundred fifty-two thousand, one hundred twenty-eight".