85928800 has 72 divisors (see below), whose sum is σ = 215517456. Its totient is φ = 33431040.

The previous prime is 85928789. The next prime is 85928803. The reversal of 85928800 is 882958.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85928803) 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 11 ways as a sum of consecutive naturals, for example, 28149 + ... + 31051.

It is an arithmetic number, because the mean of its divisors is an integer number (2993298).

Almost surely, 2^85928800 is an apocalyptic number.

85928800 is a gapful number since it is divisible by the number (80) 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 85928800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107758728).

85928800 is an abundant number, since it is smaller than the sum of its proper divisors (129588656).

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

85928800 is a wasteful number, since it uses less digits than its factorization.

85928800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960 (or 2947 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 40.

The square root of 85928800 is about 9269.7788538886. The cubic root of 85928800 is about 441.2786497620.

The spelling of 85928800 in words is "eighty-five million, nine hundred twenty-eight thousand, eight hundred".