86175628 has 48 divisors (see below), whose sum is σ = 192052224. Its totient is φ = 32855040.

The previous prime is 86175623. The next prime is 86175653. The reversal of 86175628 is 82657168.

It is a super-2 number, since 2×86175628² = 14852477722388768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86175623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11500 + ... + 17452.

It is an arithmetic number, because the mean of its divisors is an integer number (4001088).

Almost surely, 2^86175628 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 86175628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96026112).

86175628 is an abundant number, since it is smaller than the sum of its proper divisors (105876596).

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

86175628 is a wasteful number, since it uses less digits than its factorization.

86175628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6022 (or 6020 counting only the distinct ones).

The product of its digits is 161280, while the sum is 43.

The square root of 86175628 is about 9283.0828930911. The cubic root of 86175628 is about 441.7007659128.

It can be divided in two parts, 8617 and 5628, that multiplied together give a triangular number (48496476 = T₉₈₄₈).

The spelling of 86175628 in words is "eighty-six million, one hundred seventy-five thousand, six hundred twenty-eight".