6428790 has 48 divisors (see below), whose sum is σ = 17003376. Its totient is φ = 1684800.

The previous prime is 6428789. The next prime is 6428791. The reversal of 6428790 is 978246.

6428790 is a `hidden beast` number, since 642 + 8 + 7 + 9 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6428789) and next prime (6428791).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6428791) 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, 4905 + ... + 6075.

It is an arithmetic number, because the mean of its divisors is an integer number (354237).

Almost surely, 2^6428790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6428790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8501688).

6428790 is an abundant number, since it is smaller than the sum of its proper divisors (10574586).

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

6428790 is a wasteful number, since it uses less digits than its factorization.

6428790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 6428790 is about 2535.5058666862. The cubic root of 6428790 is about 185.9415355620.

The spelling of 6428790 in words is "six million, four hundred twenty-eight thousand, seven hundred ninety".