86428410 has 64 divisors (see below), whose sum is σ = 219905280. Its totient is φ = 21701120.

The previous prime is 86428373. The next prime is 86428417. The reversal of 86428410 is 1482468.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (86428417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34459 + ... + 36881.

It is an arithmetic number, because the mean of its divisors is an integer number (3436020).

Almost surely, 2^86428410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86428410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109952640).

86428410 is an abundant number, since it is smaller than the sum of its proper divisors (133476870).

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

86428410 is a wasteful number, since it uses less digits than its factorization.

86428410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2503.

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 86428410 is about 9296.6881199705. The cubic root of 86428410 is about 442.1322297744.

The spelling of 86428410 in words is "eighty-six million, four hundred twenty-eight thousand, four hundred ten".