428314281448340 has 144 divisors (see below), whose sum is σ = 1080217585649664. Its totient is φ = 142093095782400.

The previous prime is 428314281448271. The next prime is 428314281448349. The reversal of 428314281448340 is 43844182413824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428314281448349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211378244 + ... + 213394916.

It is an arithmetic number, because the mean of its divisors is an integer number (7501511011456).

Almost surely, 2^{428314281448340} 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 428314281448340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540108792824832).

428314281448340 is an abundant number, since it is smaller than the sum of its proper divisors (651903304201324).

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

428314281448340 is a wasteful number, since it uses less digits than its factorization.

428314281448340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023718 (or 2023709 counting only the distinct ones).

The product of its (nonzero) digits is 18874368, while the sum is 56.

The spelling of 428314281448340 in words is "four hundred twenty-eight trillion, three hundred fourteen billion, two hundred eighty-one million, four hundred forty-eight thousand, three hundred forty".