86851128 has 288 divisors, whose sum is σ = 300412800. Its totient is φ = 20756736.

The previous prime is 86851103. The next prime is 86851133. The reversal of 86851128 is 82115868.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3776125 + ... + 3776147.

It is an arithmetic number, because the mean of its divisors is an integer number (1043100).

Almost surely, 2^86851128 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 86851128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150206400).

86851128 is an abundant number, since it is smaller than the sum of its proper divisors (213561672).

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

86851128 is a wasteful number, since it uses less digits than its factorization.

86851128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 67 counting only the distinct ones).

The product of its digits is 30720, while the sum is 39.

The square root of 86851128 is about 9319.3952593503. The cubic root of 86851128 is about 442.8518749881.

The spelling of 86851128 in words is "eighty-six million, eight hundred fifty-one thousand, one hundred twenty-eight".