85988628 has 120 divisors (see below), whose sum is σ = 256132800. Its totient is φ = 24900480.

The previous prime is 85988627. The next prime is 85988633. The reversal of 85988628 is 82688958.

85988628 is a `hidden beast` number, since 8 + 5 + 9 + 8 + 8 + 628 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85988627) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 81448 + ... + 82496.

It is an arithmetic number, because the mean of its divisors is an integer number (2134440).

Almost surely, 2^85988628 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 85988628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128066400).

85988628 is an abundant number, since it is smaller than the sum of its proper divisors (170144172).

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

85988628 is a wasteful number, since it uses less digits than its factorization.

85988628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1088 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The square root of 85988628 is about 9273.0053380768. The cubic root of 85988628 is about 441.3810395477.

The spelling of 85988628 in words is "eighty-five million, nine hundred eighty-eight thousand, six hundred twenty-eight".