6928416 has 120 divisors (see below), whose sum is σ = 22320144. Its totient is φ = 2099520.

The previous prime is 6928409. The next prime is 6928417. The reversal of 6928416 is 6148296.

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.

Its product of digits (20736) is a multiple of the sum of its prime divisors (16).

It is not an unprimeable number, because it can be changed into a prime (6928417) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 629851 + ... + 629861.

Almost surely, 2^6928416 is an apocalyptic number.

6928416 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6928416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11160072).

6928416 is an abundant number, since it is smaller than the sum of its proper divisors (15391728).

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

6928416 is an frugal number, since it uses more digits than its factorization.

6928416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 16 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 6928416 is about 2632.1884431021. The cubic root of 6928416 is about 190.6388101076.

The spelling of 6928416 in words is "six million, nine hundred twenty-eight thousand, four hundred sixteen".