6883128 has 72 divisors (see below), whose sum is σ = 21696480. Its totient is φ = 1965600.

The previous prime is 6883127. The next prime is 6883153. The reversal of 6883128 is 8213886.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 6883092 and 6883101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6883127) 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, 2553 + ... + 4503.

It is an arithmetic number, because the mean of its divisors is an integer number (301340).

Almost surely, 2^6883128 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 6883128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10848240).

6883128 is an abundant number, since it is smaller than the sum of its proper divisors (14813352).

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

6883128 is a wasteful number, since it uses less digits than its factorization.

6883128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1977 (or 1963 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 6883128 is about 2623.5716113726. The cubic root of 6883128 is about 190.2225278242. Note that the first 3 decimals are identical.

The spelling of 6883128 in words is "six million, eight hundred eighty-three thousand, one hundred twenty-eight".