85028328 has 192 divisors, whose sum is σ = 293904000. Its totient is φ = 22014720.

The previous prime is 85028323. The next prime is 85028341. The reversal of 85028328 is 82382058.

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 = 85028292 and 85028301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85028323) 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 47 ways as a sum of consecutive naturals, for example, 271500 + ... + 271812.

It is an arithmetic number, because the mean of its divisors is an integer number (1530750).

Almost surely, 2^85028328 is an apocalyptic number.

85028328 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 85028328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146952000).

85028328 is an abundant number, since it is smaller than the sum of its proper divisors (208875672).

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

85028328 is a wasteful number, since it uses less digits than its factorization.

85028328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 85028328 is about 9221.0806308155. The cubic root of 85028328 is about 439.7318062577.

The spelling of 85028328 in words is "eighty-five million, twenty-eight thousand, three hundred twenty-eight".