86072928 has 96 divisors (see below), whose sum is σ = 239500800. Its totient is φ = 27019776.

The previous prime is 86072897. The next prime is 86072929. The reversal of 86072928 is 82927068.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 86072928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86072929) 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, 119353 + ... + 120071.

It is an arithmetic number, because the mean of its divisors is an integer number (2494800).

Almost surely, 2^86072928 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 86072928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119750400).

86072928 is an abundant number, since it is smaller than the sum of its proper divisors (153427872).

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

86072928 is a wasteful number, since it uses less digits than its factorization.

86072928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 86072928 is about 9277.5496765040. The cubic root of 86072928 is about 441.5252301997.

The spelling of 86072928 in words is "eighty-six million, seventy-two thousand, nine hundred twenty-eight".