86328048 has 80 divisors (see below), whose sum is σ = 229913856. Its totient is φ = 27901440.

The previous prime is 86328037. The next prime is 86328071. The reversal of 86328048 is 84082368.

It is a junction number, because it is equal to n+sod(n) for n = 86327997 and 86328015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248611 + ... + 248957.

Almost surely, 2^86328048 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 86328048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114956928).

86328048 is an abundant number, since it is smaller than the sum of its proper divisors (143585808).

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

86328048 is a wasteful number, since it uses less digits than its factorization.

86328048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 86328048 is about 9291.2888234087. The cubic root of 86328048 is about 441.9610265726.

The spelling of 86328048 in words is "eighty-six million, three hundred twenty-eight thousand, forty-eight".