428539714560 has 1056 divisors, whose sum is σ = 1634325848064. Its totient is φ = 107495424000.

The previous prime is 428539714543. The next prime is 428539714607. The reversal of 428539714560 is 65417935824.

It is a happy number.

428539714560 is a `hidden beast` number, since 4 + 2 + 8 + 5 + 3 + 9 + 71 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 428539714497 and 428539714506.

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 95 ways as a sum of consecutive naturals, for example, 1581327225 + ... + 1581327495.

It is a 1-persistent number, because it is pandigital, but 2⋅428539714560 = 857079429120 is not.

Almost surely, 2^428539714560 is an apocalyptic number.

428539714560 is a gapful number since it is divisible by the number (40) 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 428539714560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817162924032).

428539714560 is an abundant number, since it is smaller than the sum of its proper divisors (1205786133504).

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

428539714560 is a wasteful number, since it uses less digits than its factorization.

428539714560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 428539714560 in words is "four hundred twenty-eight billion, five hundred thirty-nine million, seven hundred fourteen thousand, five hundred sixty".