86918328 has 192 divisors, whose sum is σ = 284544000. Its totient is φ = 23452416.

The previous prime is 86918317. The next prime is 86918333. The reversal of 86918328 is 82381968.

It is a Cunningham number, because it is equal to 9323²-1.

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 47 ways as a sum of consecutive naturals, for example, 1100193 + ... + 1100271.

It is an arithmetic number, because the mean of its divisors is an integer number (1482000).

Almost surely, 2^86918328 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 86918328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142272000).

86918328 is an abundant number, since it is smaller than the sum of its proper divisors (197625672).

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

86918328 is a wasteful number, since it uses less digits than its factorization.

86918328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 187 counting only the distinct ones).

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

The square root of 86918328 is about 9322.9999463692. Note that the first 4 decimals coincide. The cubic root of 86918328 is about 442.9660626201.

The spelling of 86918328 in words is "eighty-six million, nine hundred eighteen thousand, three hundred twenty-eight".