4787328 has 128 divisors (see below), whose sum is σ = 15765120. Its totient is φ = 1253376.

The previous prime is 4787311. The next prime is 4787329. The reversal of 4787328 is 8237874.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4787329) 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, 34876 + ... + 35012.

It is an arithmetic number, because the mean of its divisors is an integer number (123165).

Almost surely, 2^4787328 is an apocalyptic number.

4787328 is a gapful number since it is divisible by the number (48) 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 4787328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7882560).

4787328 is an abundant number, since it is smaller than the sum of its proper divisors (10977792).

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

4787328 is a wasteful number, since it uses less digits than its factorization.

4787328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 162 counting only the distinct ones).

The product of its digits is 75264, while the sum is 39.

The square root of 4787328 is about 2187.9963436898. The cubic root of 4787328 is about 168.5379580885.

It can be divided in two parts, 4787 and 328, that added together give a palindrome (5115).

The spelling of 4787328 in words is "four million, seven hundred eighty-seven thousand, three hundred twenty-eight".