6812928 has 54 divisors (see below), whose sum is σ = 19649994. Its totient is φ = 2270208.

The previous prime is 6812909. The next prime is 6812933. The reversal of 6812928 is 8292186.

It can be written as a sum of positive squares in only one way, i.e., 4875264 + 1937664 = 2208^2 + 1392^2 .

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 = 6812892 and 6812901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 826 + ... + 3782.

Almost surely, 2^6812928 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 6812928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9824997).

6812928 is an abundant number, since it is smaller than the sum of its proper divisors (12837066).

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

6812928 is a wasteful number, since it uses less digits than its factorization.

6812928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2979 (or 2962 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 6812928 is about 2610.1586158699. The cubic root of 6812928 is about 189.5736330369.

It can be divided in two parts, 68 and 12928, that added together give a square (12996 = 114²).

The spelling of 6812928 in words is "six million, eight hundred twelve thousand, nine hundred twenty-eight".