4673104128 has 648 divisors, whose sum is σ = 17666341056. Its totient is φ = 1174118400.

The previous prime is 4673104103. The next prime is 4673104159. The reversal of 4673104128 is 8214013764.

It is a super-2 number, since 2×4673104128² = 43675804382261280768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4673104092 and 4673104101.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65818333 + ... + 65818403.

It is an arithmetic number, because the mean of its divisors is an integer number (27262872).

Almost surely, 2^4673104128 is an apocalyptic number.

4673104128 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 4673104128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8833170528).

4673104128 is an abundant number, since it is smaller than the sum of its proper divisors (12993236928).

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

4673104128 is a wasteful number, since it uses less digits than its factorization.

4673104128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4673104128 is about 68360.1062608887. The cubic root of 4673104128 is about 1671.8673612569.

It can be divided in two parts, 4673 and 104128, that added together give a palindrome (108801).

The spelling of 4673104128 in words is "four billion, six hundred seventy-three million, one hundred four thousand, one hundred twenty-eight".