86315328 has 224 divisors, whose sum is σ = 292608000. Its totient is φ = 24675840.

The previous prime is 86315287. The next prime is 86315357. The reversal of 86315328 is 82351368.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 86315292 and 86315301.

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, 361033 + ... + 361271.

Almost surely, 2^86315328 is an apocalyptic number.

86315328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86315328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146304000).

86315328 is an abundant number, since it is smaller than the sum of its proper divisors (206292672).

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

86315328 is a wasteful number, since it uses less digits than its factorization.

86315328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 274 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 86315328 is about 9290.6042860516. The cubic root of 86315328 is about 441.9393186011.

The spelling of 86315328 in words is "eighty-six million, three hundred fifteen thousand, three hundred twenty-eight".