6416928 has 96 divisors (see below), whose sum is σ = 21409920. Its totient is φ = 1831680.

The previous prime is 6416923. The next prime is 6416953. The reversal of 6416928 is 8296146.

6416928 is a `hidden beast` number, since 641 + 6 + 9 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 6416892 and 6416901.

It is not an unprimeable number, because it can be changed into a prime (6416923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5518 + ... + 6578.

It is an arithmetic number, because the mean of its divisors is an integer number (223020).

Almost surely, 2^6416928 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 6416928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10704960).

6416928 is an abundant number, since it is smaller than the sum of its proper divisors (14992992).

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

6416928 is a wasteful number, since it uses less digits than its factorization.

6416928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1073 counting only the distinct ones).

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

The square root of 6416928 is about 2533.1656084828. The cubic root of 6416928 is about 185.8271025994.

It can be divided in two parts, 641 and 6928, that added together give a square (7569 = 87²).

The spelling of 6416928 in words is "six million, four hundred sixteen thousand, nine hundred twenty-eight".