85257128 has 16 divisors (see below), whose sum is σ = 174389760. Its totient is φ = 38753200.

The previous prime is 85257121. The next prime is 85257143. The reversal of 85257128 is 82175258.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 85257091 and 85257100.

It is not an unprimeable number, because it can be changed into a prime (85257121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 484328 + ... + 484503.

It is an arithmetic number, because the mean of its divisors is an integer number (10899360).

Almost surely, 2^85257128 is an apocalyptic number.

85257128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

85257128 is an abundant number, since it is smaller than the sum of its proper divisors (89132632).

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

85257128 is a wasteful number, since it uses less digits than its factorization.

85257128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968848 (or 968844 counting only the distinct ones).

The product of its digits is 44800, while the sum is 38.

The square root of 85257128 is about 9233.4786510827. The cubic root of 85257128 is about 440.1258730783.

The spelling of 85257128 in words is "eighty-five million, two hundred fifty-seven thousand, one hundred twenty-eight".