86893128 has 128 divisors (see below), whose sum is σ = 279072000. Its totient is φ = 24537600.

The previous prime is 86893111. The next prime is 86893133. The reversal of 86893128 is 82139868.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 152428 + ... + 152996.

It is an arithmetic number, because the mean of its divisors is an integer number (2180250).

Almost surely, 2^86893128 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 86893128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139536000).

86893128 is an abundant number, since it is smaller than the sum of its proper divisors (192178872).

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

86893128 is a wasteful number, since it uses less digits than its factorization.

86893128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 682 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 86893128 is about 9321.6483520888. The cubic root of 86893128 is about 442.9232491575.

The spelling of 86893128 in words is "eighty-six million, eight hundred ninety-three thousand, one hundred twenty-eight".