85282848 has 192 divisors, whose sum is σ = 290304000. Its totient is φ = 23853312.

The previous prime is 85282831. The next prime is 85282853. The reversal of 85282848 is 84828258.

It is a super-2 number, since 2×85282848² = 14546328325982208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356713 + ... + 356951.

It is an arithmetic number, because the mean of its divisors is an integer number (1512000).

Almost surely, 2^85282848 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 85282848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152000).

85282848 is an abundant number, since it is smaller than the sum of its proper divisors (205021152).

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

85282848 is a wasteful number, since it uses less digits than its factorization.

85282848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 310 counting only the distinct ones).

The product of its digits is 327680, while the sum is 45.

The square root of 85282848 is about 9234.8713039219. The cubic root of 85282848 is about 440.1701270490.

The spelling of 85282848 in words is "eighty-five million, two hundred eighty-two thousand, eight hundred forty-eight".