86548728 has 64 divisors (see below), whose sum is σ = 248325120. Its totient is φ = 24624000.

The previous prime is 86548703. The next prime is 86548729. The reversal of 86548728 is 82784568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86548729) by changing a digit.

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, 44578 + ... + 46478.

It is an arithmetic number, because the mean of its divisors is an integer number (3880080).

Almost surely, 2^86548728 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 86548728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124162560).

86548728 is an abundant number, since it is smaller than the sum of its proper divisors (161776392).

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

86548728 is a wasteful number, since it uses less digits than its factorization.

86548728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188 (or 2184 counting only the distinct ones).

The product of its digits is 860160, while the sum is 48.

The square root of 86548728 is about 9303.1568835530. The cubic root of 86548728 is about 442.3373004588.

It can be divided in two parts, 8654872 and 8, that added together give a triangular number (8654880 = T₄₁₆₀).

The spelling of 86548728 in words is "eighty-six million, five hundred forty-eight thousand, seven hundred twenty-eight".