85948128 has 144 divisors (see below), whose sum is σ = 289860480. Its totient is φ = 24541056.

The previous prime is 85948091. The next prime is 85948147. The reversal of 85948128 is 82184958.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53643 + ... + 55221.

It is an arithmetic number, because the mean of its divisors is an integer number (2012920).

Almost surely, 2^85948128 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 85948128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144930240).

85948128 is an abundant number, since it is smaller than the sum of its proper divisors (203912352).

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

85948128 is a wasteful number, since it uses less digits than its factorization.

85948128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1591 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 85948128 is about 9270.8213228387. The cubic root of 85948128 is about 441.3117329439.

The spelling of 85948128 in words is "eighty-five million, nine hundred forty-eight thousand, one hundred twenty-eight".