6128928 has 72 divisors (see below), whose sum is σ = 18781308. Its totient is φ = 1884672.

The previous prime is 6128923. The next prime is 6128929. The reversal of 6128928 is 8298216.

It can be written as a sum of positive squares in 2 ways, for example, as 4717584 + 1411344 = 2172^2 + 1188^2 .

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 = 6128892 and 6128901.

It is not an unprimeable number, because it can be changed into a prime (6128921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2926 + ... + 4562.

Almost surely, 2^6128928 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 6128928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9390654).

6128928 is an abundant number, since it is smaller than the sum of its proper divisors (12652380).

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

6128928 is a wasteful number, since it uses less digits than its factorization.

6128928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 1655 counting only the distinct ones).

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

The square root of 6128928 is about 2475.6671828014. The cubic root of 6128928 is about 183.0043893957.

It can be divided in two parts, 6128 and 928, that added together give a square (7056 = 84²).

The spelling of 6128928 in words is "six million, one hundred twenty-eight thousand, nine hundred twenty-eight".