86941728 has 96 divisors (see below), whose sum is σ = 259096320. Its totient is φ = 28350720.

The previous prime is 86941693. The next prime is 86941741. The reversal of 86941728 is 82714968.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39538 + ... + 41678.

It is an arithmetic number, because the mean of its divisors is an integer number (2698920).

Almost surely, 2^86941728 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 86941728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129548160).

86941728 is an abundant number, since it is smaller than the sum of its proper divisors (172154592).

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

86941728 is a wasteful number, since it uses less digits than its factorization.

86941728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2207 (or 2193 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 86941728 is about 9324.2548227727. The cubic root of 86941728 is about 443.0058105691.

The spelling of 86941728 in words is "eighty-six million, nine hundred forty-one thousand, seven hundred twenty-eight".