86972928 has 80 divisors (see below), whose sum is σ = 264834240. Its totient is φ = 24846336.

The previous prime is 86972927. The next prime is 86972987. The reversal of 86972928 is 82927968.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (86972923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6708 + ... + 14796.

It is an arithmetic number, because the mean of its divisors is an integer number (3310428).

Almost surely, 2^86972928 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 86972928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132417120).

86972928 is an abundant number, since it is smaller than the sum of its proper divisors (177861312).

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

86972928 is an equidigital number, since it uses as much as digits as its factorization.

86972928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8117 (or 8101 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The square root of 86972928 is about 9325.9277286498. The cubic root of 86972928 is about 443.0587967418.

It can be divided in two parts, 8697 and 2928, that multiplied together give a triangular number (25464816 = T₇₁₃₆).

The spelling of 86972928 in words is "eighty-six million, nine hundred seventy-two thousand, nine hundred twenty-eight".