6401928 has 96 divisors (see below), whose sum is σ = 18567360. Its totient is φ = 1827840.

The previous prime is 6401921. The next prime is 6401929. The reversal of 6401928 is 8291046.

It is a junction number, because it is equal to n+sod(n) for n = 6401895 and 6401904.

It is not an unprimeable number, because it can be changed into a prime (6401921) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 90133 + ... + 90203.

It is an arithmetic number, because the mean of its divisors is an integer number (193410).

Almost surely, 2^6401928 is an apocalyptic number.

6401928 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 6401928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9283680).

6401928 is an abundant number, since it is smaller than the sum of its proper divisors (12165432).

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

6401928 is a wasteful number, since it uses less digits than its factorization.

6401928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 6401928 is about 2530.2031538989. The cubic root of 6401928 is about 185.6821951878.

The spelling of 6401928 in words is "six million, four hundred one thousand, nine hundred twenty-eight".