6407028 has 108 divisors (see below), whose sum is σ = 18722340. Its totient is φ = 1838592.

The previous prime is 6407017. The next prime is 6407033. The reversal of 6407028 is 8207046.

It can be written as a sum of positive squares in 2 ways, for example, as 4210704 + 2196324 = 2052^2 + 1482^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6406992 and 6407010.

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 35 ways as a sum of consecutive naturals, for example, 220918 + ... + 220946.

It is an arithmetic number, because the mean of its divisors is an integer number (173355).

Almost surely, 2^6407028 is an apocalyptic number.

6407028 is a gapful number since it is divisible by the number (68) 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 6407028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9361170).

6407028 is an abundant number, since it is smaller than the sum of its proper divisors (12315312).

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

6407028 is a wasteful number, since it uses less digits than its factorization.

6407028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 6407028 is about 2531.2107774739. The cubic root of 6407028 is about 185.7314890798.

The spelling of 6407028 in words is "six million, four hundred seven thousand, twenty-eight".