85297128 has 64 divisors (see below), whose sum is σ = 247173120. Its totient is φ = 24024000.

The previous prime is 85297117. The next prime is 85297129. The reversal of 85297128 is 82179258.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 85297128.

It is not an unprimeable number, because it can be changed into a prime (85297129) 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 15 ways as a sum of consecutive naturals, for example, 8353 + ... + 15503.

It is an arithmetic number, because the mean of its divisors is an integer number (3862080).

Almost surely, 2^85297128 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 85297128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123586560).

85297128 is an abundant number, since it is smaller than the sum of its proper divisors (161875992).

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

85297128 is a wasteful number, since it uses less digits than its factorization.

85297128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7238 (or 7234 counting only the distinct ones).

The product of its digits is 80640, while the sum is 42.

The square root of 85297128 is about 9235.6444279758. The cubic root of 85297128 is about 440.1946934527.

The spelling of 85297128 in words is "eighty-five million, two hundred ninety-seven thousand, one hundred twenty-eight".