4929035328 has 336 divisors, whose sum is σ = 17633208320. Its totient is φ = 1333615104.

The previous prime is 4929035323. The next prime is 4929035333. The reversal of 4929035328 is 8235309294.

It is a happy number.

4929035328 is a `hidden beast` number, since 4 + 9 + 290 + 35 + 328 = 666.

It is an interprime number because it is at equal distance from previous prime (4929035323) and next prime (4929035333).

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (4929035323) 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 47 ways as a sum of consecutive naturals, for example, 2067225 + ... + 2069607.

Almost surely, 2^4929035328 is an apocalyptic number.

4929035328 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 4929035328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8816604160).

4929035328 is an abundant number, since it is smaller than the sum of its proper divisors (12704172992).

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

4929035328 is a wasteful number, since it uses less digits than its factorization.

4929035328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 4929035328 is about 70207.0888728482. The cubic root of 4929035328 is about 1701.8475102530.

The spelling of 4929035328 in words is "four billion, nine hundred twenty-nine million, thirty-five thousand, three hundred twenty-eight".