4629808128 has 176 divisors, whose sum is σ = 14172445440. Its totient is φ = 1328947200.

The previous prime is 4629808123. The next prime is 4629808129. The reversal of 4629808128 is 8218089264.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4629808123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 638443 + ... + 645653.

Almost surely, 2^4629808128 is an apocalyptic number.

4629808128 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 4629808128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7086222720).

4629808128 is an abundant number, since it is smaller than the sum of its proper divisors (9542637312).

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

4629808128 is a wasteful number, since it uses less digits than its factorization.

4629808128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7264 (or 7246 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 4629808128 is about 68042.6934211161. The cubic root of 4629808128 is about 1666.6880861958.

The spelling of 4629808128 in words is "four billion, six hundred twenty-nine million, eight hundred eight thousand, one hundred twenty-eight".