4641728 has 56 divisors (see below), whose sum is σ = 11350752. Its totient is φ = 1833984.

The previous prime is 4641713. The next prime is 4641739. The reversal of 4641728 is 8271464.

4641728 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4641694 and 4641703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5426 + ... + 6222.

It is an arithmetic number, because the mean of its divisors is an integer number (202692).

Almost surely, 2^4641728 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 4641728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5675376).

4641728 is an abundant number, since it is smaller than the sum of its proper divisors (6709024).

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

4641728 is a wasteful number, since it uses less digits than its factorization.

4641728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 819 counting only the distinct ones).

The product of its digits is 10752, while the sum is 32.

The square root of 4641728 is about 2154.4669874472. The cubic root of 4641728 is about 166.8117208302.

The spelling of 4641728 in words is "four million, six hundred forty-one thousand, seven hundred twenty-eight".