328788 has 18 divisors (see below), whose sum is σ = 831194. Its totient is φ = 109584.

The previous prime is 328787. The next prime is 328789. The reversal of 328788 is 887823.

It is an interprime number because it is at equal distance from previous prime (328787) and next prime (328789).

It can be written as a sum of positive squares in only one way, i.e., 311364 + 17424 = 558^2 + 132^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 9133 = 328788 / (3 + 2 + 8 + 7 + 8 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328781) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4531 + ... + 4602.

2³²⁸⁷⁸⁸ is an apocalyptic number.

It is an amenable number.

328788 is an abundant number, since it is smaller than the sum of its proper divisors (502406).

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

328788 is a wasteful number, since it uses less digits than its factorization.

328788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9143 (or 9138 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 328788 is about 573.4003836762. The cubic root of 328788 is about 69.0195281841.

It can be divided in two parts, 3287 and 88, that added together give a cube (3375 = 15³).

The spelling of 328788 in words is "three hundred twenty-eight thousand, seven hundred eighty-eight".