85552128 has 66 divisors (see below), whose sum is σ = 247056524. Its totient is φ = 28514304.

The previous prime is 85552127. The next prime is 85552141. The reversal of 85552128 is 82125558.

85552128 is a `hidden beast` number, since 85 + 552 + 1 + 28 = 666.

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 = 85552092 and 85552101.

It is not an unprimeable number, because it can be changed into a prime (85552121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4575 + ... + 13857.

Almost surely, 2^85552128 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 85552128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123528262).

85552128 is an abundant number, since it is smaller than the sum of its proper divisors (161504396).

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

85552128 is a wasteful number, since it uses less digits than its factorization.

85552128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9309 (or 9288 counting only the distinct ones).

The product of its digits is 32000, while the sum is 36.

The square root of 85552128 is about 9249.4393343597. The cubic root of 85552128 is about 440.6329183427.

The spelling of 85552128 in words is "eighty-five million, five hundred fifty-two thousand, one hundred twenty-eight".