887328 has 96 divisors (see below), whose sum is σ = 2822400. Its totient is φ = 269568.

The previous prime is 887323. The next prime is 887333. The reversal of 887328 is 823788.

It is an interprime number because it is at equal distance from previous prime (887323) and next prime (887333).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 8² + 8² + 3¹⁰ + 7⁷ + 2¹² + 8³ .

It is a junction number, because it is equal to n+sod(n) for n = 887292 and 887301.

It is not an unprimeable number, because it can be changed into a prime (887323) by changing a digit.

887328 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 15 ways as a sum of consecutive naturals, for example, 11193 + ... + 11271.

It is an arithmetic number, because the mean of its divisors is an integer number (29400).

2⁸⁸⁷³²⁸ 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 887328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411200).

887328 is an abundant number, since it is smaller than the sum of its proper divisors (1935072).

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

887328 is a wasteful number, since it uses less digits than its factorization.

887328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 97 counting only the distinct ones).

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

The square root of 887328 is about 941.9808915259. The cubic root of 887328 is about 96.0936585960.

Adding to 887328 its sum of digits (36), we get a square (887364 = 942²).

The spelling of 887328 in words is "eight hundred eighty-seven thousand, three hundred twenty-eight".