86791328 has 96 divisors (see below), whose sum is σ = 197116416. Its totient is φ = 37306368.

The previous prime is 86791321. The next prime is 86791339. The reversal of 86791328 is 82319768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86791321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 449600 + ... + 449792.

It is an arithmetic number, because the mean of its divisors is an integer number (2053296).

Almost surely, 2^86791328 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 86791328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98558208).

86791328 is an abundant number, since it is smaller than the sum of its proper divisors (110325088).

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

86791328 is a wasteful number, since it uses less digits than its factorization.

86791328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 278 counting only the distinct ones).

The product of its digits is 145152, while the sum is 44.

The square root of 86791328 is about 9316.1863442076. The cubic root of 86791328 is about 442.7502120502.

The spelling of 86791328 in words is "eighty-six million, seven hundred ninety-one thousand, three hundred twenty-eight".