6428800 has 144 divisors (see below), whose sum is σ = 18924570. Its totient is φ = 2150400.

The previous prime is 6428791. The next prime is 6428803. The reversal of 6428800 is 88246.

It can be written as a sum of positive squares in 3 ways, for example, as 3013696 + 3415104 = 1736^2 + 1848^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (6428803) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 156780 + ... + 156820.

Almost surely, 2^6428800 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 6428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9462285).

6428800 is an abundant number, since it is smaller than the sum of its proper divisors (12495770).

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

6428800 is a wasteful number, since it uses less digits than its factorization.

6428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 6428800 is about 2535.5078386785. The cubic root of 6428800 is about 185.9416319728.

The spelling of 6428800 in words is "six million, four hundred twenty-eight thousand, eight hundred".