85728528 has 60 divisors (see below), whose sum is σ = 241703280. Its totient is φ = 28363968.

The previous prime is 85728523. The next prime is 85728563. The reversal of 85728528 is 82582758.

It is not an unprimeable number, because it can be changed into a prime (85728523) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17875 + ... + 22157.

It is an arithmetic number, because the mean of its divisors is an integer number (4028388).

Almost surely, 2^85728528 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 85728528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120851640).

85728528 is an abundant number, since it is smaller than the sum of its proper divisors (155974752).

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

85728528 is a wasteful number, since it uses less digits than its factorization.

85728528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4436 (or 4427 counting only the distinct ones).

The product of its digits is 358400, while the sum is 45.

The square root of 85728528 is about 9258.9701371157. The cubic root of 85728528 is about 440.9355575542.

The spelling of 85728528 in words is "eighty-five million, seven hundred twenty-eight thousand, five hundred twenty-eight".