458028733968 has 600 divisors, whose sum is σ = 1596702873920. Its totient is φ = 125635276800.

The previous prime is 458028733961. The next prime is 458028733969. The reversal of 458028733968 is 869337820854.

458028733968 is a `hidden beast` number, since 458 + 0 + 28 + 73 + 3 + 96 + 8 = 666.

It is a super-2 number, since 2×458028733968² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (458028733961) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 92509893 + ... + 92514843.

Almost surely, 2^458028733968 is an apocalyptic number.

458028733968 is a gapful number since it is divisible by the number (48) 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 458028733968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798351436960).

458028733968 is an abundant number, since it is smaller than the sum of its proper divisors (1138674139952).

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

458028733968 is a wasteful number, since it uses less digits than its factorization.

458028733968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5037 (or 5005 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 458028733968 in words is "four hundred fifty-eight billion, twenty-eight million, seven hundred thirty-three thousand, nine hundred sixty-eight".