458712828 has 288 divisors, whose sum is σ = 1506283520. Its totient is φ = 118039680.

The previous prime is 458712823. The next prime is 458712829. The reversal of 458712828 is 828217854.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (458712823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12397626 + ... + 12397662.

Almost surely, 2^458712828 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 458712828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753141760).

458712828 is an abundant number, since it is smaller than the sum of its proper divisors (1047570692).

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

458712828 is a wasteful number, since it uses less digits than its factorization.

458712828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 103 counting only the distinct ones).

The product of its digits is 286720, while the sum is 45.

The square root of 458712828 is about 21417.5822164875. The cubic root of 458712828 is about 771.2235721598.

The spelling of 458712828 in words is "four hundred fifty-eight million, seven hundred twelve thousand, eight hundred twenty-eight".