4456728 has 64 divisors (see below), whose sum is σ = 12672000. Its totient is φ = 1450656.

The previous prime is 4456709. The next prime is 4456769. The reversal of 4456728 is 8276544.

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

It is a d-powerful number, because it can be written as 4⁹ + 4¹¹ + 5 + 6³ + 7² + 2 + 8 .

It is a junction number, because it is equal to n+sod(n) for n = 4456692 and 4456701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9933 + ... + 10371.

It is an arithmetic number, because the mean of its divisors is an integer number (198000).

Almost surely, 2^4456728 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 4456728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6336000).

4456728 is an abundant number, since it is smaller than the sum of its proper divisors (8215272).

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

4456728 is a wasteful number, since it uses less digits than its factorization.

4456728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 491 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 4456728 is about 2111.0963976095. The cubic root of 4456728 is about 164.5654682241.

It can be divided in two parts, 4456 and 728, that added together give a square (5184 = 72²).

The spelling of 4456728 in words is "four million, four hundred fifty-six thousand, seven hundred twenty-eight".