458705728728 has 384 divisors, whose sum is σ = 1464199027200. Its totient is φ = 133471742976.

The previous prime is 458705728697. The next prime is 458705728739. The reversal of 458705728728 is 827827507854.

458705728728 is a `hidden beast` number, since 4 + 58 + 7 + 0 + 572 + 8 + 7 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51727351 + ... + 51736217.

It is an arithmetic number, because the mean of its divisors is an integer number (3813018300).

Almost surely, 2^458705728728 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 458705728728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732099513600).

458705728728 is an abundant number, since it is smaller than the sum of its proper divisors (1005493298472).

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

458705728728 is a wasteful number, since it uses less digits than its factorization.

458705728728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9013 (or 8997 counting only the distinct ones).

The product of its (nonzero) digits is 70246400, while the sum is 63.

The spelling of 458705728728 in words is "four hundred fifty-eight billion, seven hundred five million, seven hundred twenty-eight thousand, seven hundred twenty-eight".