4705128 has 80 divisors (see below), whose sum is σ = 13525380. Its totient is φ = 1527552.

The previous prime is 4705117. The next prime is 4705139. The reversal of 4705128 is 8215074.

4705128 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4705117) and next prime (4705139).

It can be written as a sum of positive squares in 2 ways, for example, as 4588164 + 116964 = 2142^2 + 342^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34276 + ... + 34412.

Almost surely, 2^4705128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4705128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6762690).

4705128 is an abundant number, since it is smaller than the sum of its proper divisors (8820252).

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

4705128 is a wasteful number, since it uses less digits than its factorization.

4705128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 4705128 is about 2169.1307014562. The cubic root of 4705128 is about 167.5677664461.

The spelling of 4705128 in words is "four million, seven hundred five thousand, one hundred twenty-eight".