6428454120 has 288 divisors, whose sum is σ = 24318108360. Its totient is φ = 1466572800.

The previous prime is 6428454089. The next prime is 6428454133. The reversal of 6428454120 is 214548246.

6428454120 is a `hidden beast` number, since 64 + 28 + 454 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6304042404 + 124411716 = 79398^2 + 11154^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 736180 + ... + 744860.

Almost surely, 2^6428454120 is an apocalyptic number.

6428454120 is a gapful number since it is divisible by the number (60) 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 6428454120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12159054180).

6428454120 is an abundant number, since it is smaller than the sum of its proper divisors (17889654240).

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

6428454120 is a wasteful number, since it uses less digits than its factorization.

6428454120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8737 (or 8719 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 6428454120 is about 80177.6410229186. The cubic root of 6428454120 is about 1859.3829725789.

The spelling of 6428454120 in words is "six billion, four hundred twenty-eight million, four hundred fifty-four thousand, one hundred twenty".