4582639152 has 600 divisors, whose sum is σ = 17023538400. Its totient is φ = 1188794880.

The previous prime is 4582639141. The next prime is 4582639169. The reversal of 4582639152 is 2519362854.

4582639152 is a `hidden beast` number, since 4 + 5 + 8 + 2 + 639 + 1 + 5 + 2 = 666.

Its product of digits (518400) is a multiple of the sum of its prime factors (128).

It is a junction number, because it is equal to n+sod(n) for n = 4582639098 and 4582639107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 75125202 + ... + 75125262.

It is an arithmetic number, because the mean of its divisors is an integer number (28372564).

Almost surely, 2^4582639152 is an apocalyptic number.

4582639152 is a gapful number since it is divisible by the number (42) 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 4582639152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8511769200).

4582639152 is an abundant number, since it is smaller than the sum of its proper divisors (12440899248).

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

4582639152 is a wasteful number, since it uses less digits than its factorization.

4582639152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 86 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 4582639152 is about 67695.1929755725. The cubic root of 4582639152 is about 1661.0086230123.

The spelling of 4582639152 in words is "four billion, five hundred eighty-two million, six hundred thirty-nine thousand, one hundred fifty-two".