4958435328 has 384 divisors, whose sum is σ = 16907304960. Its totient is φ = 1254850560.

The previous prime is 4958435311. The next prime is 4958435329. The reversal of 4958435328 is 8235348594.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4958435329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22235025 + ... + 22235247.

It is an arithmetic number, because the mean of its divisors is an integer number (44029440).

Almost surely, 2^4958435328 is an apocalyptic number.

4958435328 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 4958435328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8453652480).

4958435328 is an abundant number, since it is smaller than the sum of its proper divisors (11948869632).

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

4958435328 is a wasteful number, since it uses less digits than its factorization.

4958435328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 293 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 51.

The square root of 4958435328 is about 70416.1581456983. The cubic root of 4958435328 is about 1705.2244500026.

The spelling of 4958435328 in words is "four billion, nine hundred fifty-eight million, four hundred thirty-five thousand, three hundred twenty-eight".