428718213952 has 112 divisors (see below), whose sum is σ = 1006178693760. Its totient is φ = 177333553152.

The previous prime is 428718213949. The next prime is 428718213983. The reversal of 428718213952 is 259312817824.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 428718213952.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 49404238 + ... + 49412914.

Almost surely, 2^428718213952 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 428718213952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503089346880).

428718213952 is an abundant number, since it is smaller than the sum of its proper divisors (577460479808).

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

428718213952 is a wasteful number, since it uses less digits than its factorization.

428718213952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12528 (or 12518 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 52.

The spelling of 428718213952 in words is "four hundred twenty-eight billion, seven hundred eighteen million, two hundred thirteen thousand, nine hundred fifty-two".