6428248920 has 48 divisors (see below), whose sum is σ = 20891810160. Its totient is φ = 1714199616.

The previous prime is 6428248903. The next prime is 6428248927. The reversal of 6428248920 is 298428246.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6428248927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8927764 + ... + 8928483.

It is an arithmetic number, because the mean of its divisors is an integer number (435246045).

Almost surely, 2^6428248920 is an apocalyptic number.

6428248920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6428248920 is an abundant number, since it is smaller than the sum of its proper divisors (14463561240).

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

6428248920 is a wasteful number, since it uses less digits than its factorization.

6428248920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17856264 (or 17856257 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 6428248920 is about 80176.3613542046. The cubic root of 6428248920 is about 1859.3631881725.

The spelling of 6428248920 in words is "six billion, four hundred twenty-eight million, two hundred forty-eight thousand, nine hundred twenty".