86357628 has 72 divisors (see below), whose sum is σ = 250618368. Its totient is φ = 24560928.

The previous prime is 86357597. The next prime is 86357629. The reversal of 86357628 is 82675368.

86357628 is a `hidden beast` number, since 8 + 635 + 7 + 6 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86357629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65625 + ... + 66927.

Almost surely, 2^86357628 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 86357628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125309184).

86357628 is an abundant number, since it is smaller than the sum of its proper divisors (164260740).

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

86357628 is a wasteful number, since it uses less digits than its factorization.

86357628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1578 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 86357628 is about 9292.8805006844. The cubic root of 86357628 is about 442.0114996018.

The spelling of 86357628 in words is "eighty-six million, three hundred fifty-seven thousand, six hundred twenty-eight".