4681728 has 78 divisors (see below), whose sum is σ = 13629824. Its totient is φ = 1548288.

The previous prime is 4681727. The next prime is 4681739. The reversal of 4681728 is 8271864.

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4681692 and 4681701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4681727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36801 + ... + 36927.

Almost surely, 2^4681728 is an apocalyptic number.

4681728 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 4681728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6814912).

4681728 is an abundant number, since it is smaller than the sum of its proper divisors (8948096).

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

4681728 is a wasteful number, since it uses less digits than its factorization.

4681728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 132 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 4681728 is about 2163.7301125603. The cubic root of 4681728 is about 167.2895165596.

The spelling of 4681728 in words is "four million, six hundred eighty-one thousand, seven hundred twenty-eight".