85582728 has 192 divisors, whose sum is σ = 296524800. Its totient is φ = 21651840.

The previous prime is 85582699. The next prime is 85582733. The reversal of 85582728 is 82728558.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238213 + ... + 238571.

It is an arithmetic number, because the mean of its divisors is an integer number (1544400).

Almost surely, 2^85582728 is an apocalyptic number.

85582728 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85582728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148262400).

85582728 is an abundant number, since it is smaller than the sum of its proper divisors (210942072).

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

85582728 is a wasteful number, since it uses less digits than its factorization.

85582728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 425 counting only the distinct ones).

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

The square root of 85582728 is about 9251.0933407895. The cubic root of 85582728 is about 440.6854467850.

The spelling of 85582728 in words is "eighty-five million, five hundred eighty-two thousand, seven hundred twenty-eight".