328536 has 72 divisors (see below), whose sum is σ = 999180. Its totient is φ = 101088.

The previous prime is 328519. The next prime is 328543. The reversal of 328536 is 635823.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (4320) is a multiple of the sum of its prime divisors (18).

It is a congruent number.

It is an unprimeable number.

328536 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25266 + ... + 25278.

328536 is a Friedman number, since it can be written as 6^3*((8+5)*3)^2, using all its digits and the basic arithmetic operations.

2³²⁸⁵³⁶ is an apocalyptic number.

328536 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499590).

328536 is an abundant number, since it is smaller than the sum of its proper divisors (670644).

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

328536 is a wasteful number, since it uses less digits than its factorization.

328536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 18 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 328536 is about 573.1805998113. The cubic root of 328536 is about 69.0018903074.

Subtracting from 328536 its sum of digits (27), we obtain a cube (328509 = 69³).

It can be divided in two parts, 3285 and 36, that added together give a triangular number (3321 = T₈₁).

The spelling of 328536 in words is "three hundred twenty-eight thousand, five hundred thirty-six".