6628000 has 48 divisors (see below), whose sum is σ = 16294824. Its totient is φ = 2649600.

The previous prime is 6627991. The next prime is 6628007. The reversal of 6628000 is 8266.

It can be written as a sum of positive squares in 4 ways, for example, as 1411344 + 5216656 = 1188^2 + 2284^2 .

It is not an unprimeable number, because it can be changed into a prime (6628007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3172 + ... + 4828.

Almost surely, 2^6628000 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 6628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8147412).

6628000 is an abundant number, since it is smaller than the sum of its proper divisors (9666824).

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

6628000 is a wasteful number, since it uses less digits than its factorization.

6628000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 6628000 is about 2574.4902408050. The cubic root of 6628000 is about 187.8426327594.

The spelling of 6628000 in words is "six million, six hundred twenty-eight thousand".