428376367872 has 216 divisors, whose sum is σ = 1280478745728. Its totient is φ = 137587507200.

The previous prime is 428376367843. The next prime is 428376367873. The reversal of 428376367872 is 278763673824.

428376367872 is a `hidden beast` number, since 428 + 3 + 76 + 3 + 6 + 78 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (428376367873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16628922 + ... + 16654662.

Almost surely, 2^428376367872 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 428376367872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640239372864).

428376367872 is an abundant number, since it is smaller than the sum of its proper divisors (852102377856).

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

428376367872 is a wasteful number, since it uses less digits than its factorization.

428376367872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26027 (or 26010 counting only the distinct ones).

The product of its digits is 113799168, while the sum is 63.

The spelling of 428376367872 in words is "four hundred twenty-eight billion, three hundred seventy-six million, three hundred sixty-seven thousand, eight hundred seventy-two".