883728 has 90 divisors (see below), whose sum is σ = 2763774. Its totient is φ = 262656.

The previous prime is 883721. The next prime is 883733. The reversal of 883728 is 827388.

It can be written as a sum of positive squares in only one way, i.e., 831744 + 51984 = 912^2 + 228^2 .

It is a super-3 number, since 3×883728³ = 2070508896268333056, which contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 883692 and 883701.

It is not an unprimeable number, because it can be changed into a prime (883721) 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, 46503 + ... + 46521.

2⁸⁸³⁷²⁸ 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 883728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381887).

883728 is an abundant number, since it is smaller than the sum of its proper divisors (1880046).

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

883728 is a wasteful number, since it uses less digits than its factorization.

883728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 41 counting only the distinct ones).

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

The square root of 883728 is about 940.0680826408. The cubic root of 883728 is about 95.9635278120.

The spelling of 883728 in words is "eight hundred eighty-three thousand, seven hundred twenty-eight".