85075328 has 128 divisors (see below), whose sum is σ = 197920800. Its totient is φ = 36126720.

The previous prime is 85075307. The next prime is 85075343. The reversal of 85075328 is 82357058.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×85075328² = 14475622868615168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85075291 and 85075300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1978475 + ... + 1978517.

Almost surely, 2^85075328 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 85075328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98960400).

85075328 is an abundant number, since it is smaller than the sum of its proper divisors (112845472).

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

85075328 is a wasteful number, since it uses less digits than its factorization.

85075328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 38.

The square root of 85075328 is about 9223.6287869797. The cubic root of 85075328 is about 439.8128129392.

The spelling of 85075328 in words is "eighty-five million, seventy-five thousand, three hundred twenty-eight".