4629716928 has 168 divisors, whose sum is σ = 14082897920. Its totient is φ = 1450068480.

The previous prime is 4629716911. The next prime is 4629716929. The reversal of 4629716928 is 8296179264.

4629716928 is a `hidden beast` number, since 4 + 629 + 7 + 1 + 6 + 9 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4629716929) 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 23 ways as a sum of consecutive naturals, for example, 1388223 + ... + 1391553.

Almost surely, 2^4629716928 is an apocalyptic number.

4629716928 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 4629716928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7041448960).

4629716928 is an abundant number, since it is smaller than the sum of its proper divisors (9453180992).

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

4629716928 is a wasteful number, since it uses less digits than its factorization.

4629716928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3495 (or 3482 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 4629716928 is about 68042.0232503414. The cubic root of 4629716928 is about 1666.6771424053.

The spelling of 4629716928 in words is "four billion, six hundred twenty-nine million, seven hundred sixteen thousand, nine hundred twenty-eight".