86728320 has 320 divisors, whose sum is σ = 355449600. Its totient is φ = 19740672.

The previous prime is 86728319. The next prime is 86728321. The reversal of 86728320 is 2382768.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (86728319) and next prime (86728321).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (86728321) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 362761 + ... + 362999.

It is an arithmetic number, because the mean of its divisors is an integer number (1110780).

Almost surely, 2^86728320 is an apocalyptic number.

86728320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177724800).

86728320 is an abundant number, since it is smaller than the sum of its proper divisors (268721280).

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

86728320 is a wasteful number, since it uses less digits than its factorization.

86728320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 86728320 is about 9312.8040889949. The cubic root of 86728320 is about 442.6430448194.

The spelling of 86728320 in words is "eighty-six million, seven hundred twenty-eight thousand, three hundred twenty".