428315874645456 has 240 divisors, whose sum is σ = 1376031261696000. Its totient is φ = 121831072987392.

The previous prime is 428315874645437. The next prime is 428315874645473. The reversal of 428315874645456 is 654546478513824.

428315874645456 is a `hidden beast` number, since 4 + 2 + 8 + 3 + 1 + 5 + 8 + 74 + 6 + 4 + 545 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7816098345 + ... + 7816153143.

It is an arithmetic number, because the mean of its divisors is an integer number (5733463590400).

Almost surely, 2^{428315874645456} 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 428315874645456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688015630848000).

428315874645456 is an abundant number, since it is smaller than the sum of its proper divisors (947715387050544).

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

428315874645456 is a wasteful number, since it uses less digits than its factorization.

428315874645456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89206 (or 89197 counting only the distinct ones).

The product of its digits is 3096576000, while the sum is 72.

The spelling of 428315874645456 in words is "four hundred twenty-eight trillion, three hundred fifteen billion, eight hundred seventy-four million, six hundred forty-five thousand, four hundred fifty-six".