86672928 has 48 divisors (see below), whose sum is σ = 229340160. Its totient is φ = 28659456.

The previous prime is 86672899. The next prime is 86672939. The reversal of 86672928 is 82927668.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8638 + ... + 15746.

It is an arithmetic number, because the mean of its divisors is an integer number (4777920).

Almost surely, 2^86672928 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 86672928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114670080).

86672928 is an abundant number, since it is smaller than the sum of its proper divisors (142667232).

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

86672928 is a wasteful number, since it uses less digits than its factorization.

86672928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7249 (or 7241 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 86672928 is about 9309.8296439838. The cubic root of 86672928 is about 442.5487883899.

The spelling of 86672928 in words is "eighty-six million, six hundred seventy-two thousand, nine hundred twenty-eight".