847728 has 90 divisors (see below), whose sum is σ = 2808104. Its totient is φ = 233856.

The previous prime is 847727. The next prime is 847729. The reversal of 847728 is 827748.

847728 = 147² + 148² + ... + 178².

It is an interprime number because it is at equal distance from previous prime (847727) and next prime (847729).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 847692 and 847701.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 847728.

It is not an unprimeable number, because it can be changed into a prime (847727) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 29218 + ... + 29246.

847728 is a Friedman number, since it can be written as ((87*8)^2*7)/4, using all its digits and the basic arithmetic operations.

2⁸⁴⁷⁷²⁸ 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 847728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404052).

847728 is an abundant number, since it is smaller than the sum of its proper divisors (1960376).

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

847728 is a wasteful number, since it uses less digits than its factorization.

847728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 41 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 847728 is about 920.7214562505. The cubic root of 847728 is about 94.6423486657.

It can be divided in two parts, 847 and 728, that multiplied together give a palindrome (616616).

The spelling of 847728 in words is "eight hundred forty-seven thousand, seven hundred twenty-eight".