6428448 has 144 divisors (see below), whose sum is σ = 21051576. Its totient is φ = 1843200.

The previous prime is 6428447. The next prime is 6428473. The reversal of 6428448 is 8448246.

6428448 is a `hidden beast` number, since 642 + 8 + 4 + 4 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6290064 + 138384 = 2508^2 + 372^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 d-powerful number, because it can be written as 6⁴ + 4² + 2¹⁷ + 8³ + 4⁶ + 4¹¹ + 8⁷ .

It is not an unprimeable number, because it can be changed into a prime (6428447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63598 + ... + 63698.

Almost surely, 2^6428448 is an apocalyptic number.

6428448 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 6428448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10525788).

6428448 is an abundant number, since it is smaller than the sum of its proper divisors (14623128).

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

6428448 is a wasteful number, since it uses less digits than its factorization.

6428448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 136 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 6428448 is about 2535.4384236262. The cubic root of 6428448 is about 185.9382382524.

The spelling of 6428448 in words is "six million, four hundred twenty-eight thousand, four hundred forty-eight".