4629734928 has 640 divisors, whose sum is σ = 17598873600. Its totient is φ = 1132185600.

The previous prime is 4629734911. The next prime is 4629734947. The reversal of 4629734928 is 8294379264.

4629734928 is a `hidden beast` number, since 4 + 6 + 297 + 349 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (5225472) is a multiple of the sum of its prime divisors (216).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 35341423 + ... + 35341553.

It is an arithmetic number, because the mean of its divisors is an integer number (27498240).

Almost surely, 2^4629734928 is an apocalyptic number.

4629734928 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 4629734928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8799436800).

4629734928 is an abundant number, since it is smaller than the sum of its proper divisors (12969138672).

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

4629734928 is a wasteful number, since it uses less digits than its factorization.

4629734928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 216 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 4629734928 is about 68042.1555214119. The cubic root of 4629734928 is about 1666.6793023753.

It can be divided in two parts, 46297 and 34928, that added together give a square (81225 = 285²).

The spelling of 4629734928 in words is "four billion, six hundred twenty-nine million, seven hundred thirty-four thousand, nine hundred twenty-eight".