85127328 has 288 divisors, whose sum is σ = 298831680. Its totient is φ = 23362560.

The previous prime is 85127321. The next prime is 85127369. The reversal of 85127328 is 82372158.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 85127292 and 85127301.

It is not an unprimeable number, because it can be changed into a prime (85127321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1606150 + ... + 1606202.

It is an arithmetic number, because the mean of its divisors is an integer number (1037610).

Almost surely, 2^85127328 is an apocalyptic number.

85127328 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 85127328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149415840).

85127328 is an abundant number, since it is smaller than the sum of its proper divisors (213704352).

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

85127328 is a wasteful number, since it uses less digits than its factorization.

85127328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 82 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 85127328 is about 9226.4472035557. The cubic root of 85127328 is about 439.9024025957.

The spelling of 85127328 in words is "eighty-five million, one hundred twenty-seven thousand, three hundred twenty-eight".