86905728 has 192 divisors, whose sum is σ = 308162400. Its totient is φ = 22892544.

The previous prime is 86905681. The next prime is 86905733. The reversal of 86905728 is 82750968.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104418 + ... + 105246.

Almost surely, 2^86905728 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 86905728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154081200).

86905728 is an abundant number, since it is smaller than the sum of its proper divisors (221256672).

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

86905728 is a wasteful number, since it uses less digits than its factorization.

86905728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 86905728 is about 9322.3241737241. The cubic root of 86905728 is about 442.9446569233.

The spelling of 86905728 in words is "eighty-six million, nine hundred five thousand, seven hundred twenty-eight".