6928128 has 108 divisors (see below), whose sum is σ = 20832448. Its totient is φ = 2211840.

The previous prime is 6928111. The next prime is 6928133. The reversal of 6928128 is 8218296.

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 = 6928092 and 6928101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71376 + ... + 71472.

Almost surely, 2^6928128 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 6928128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10416224).

6928128 is an abundant number, since it is smaller than the sum of its proper divisors (13904320).

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

6928128 is a wasteful number, since it uses less digits than its factorization.

6928128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 133 counting only the distinct ones).

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

The square root of 6928128 is about 2632.1337352042. The cubic root of 6928128 is about 190.6361685833.

It can be divided in two parts, 6928 and 128, that added together give a square (7056 = 84²).

The spelling of 6928128 in words is "six million, nine hundred twenty-eight thousand, one hundred twenty-eight".