4537728 has 128 divisors (see below), whose sum is σ = 14565600. Its totient is φ = 1382400.

The previous prime is 4537727. The next prime is 4537733. The reversal of 4537728 is 8277354.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 4537692 and 4537701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4537723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44878 + ... + 44978.

Almost surely, 2^4537728 is an apocalyptic number.

4537728 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 4537728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7282800).

4537728 is an abundant number, since it is smaller than the sum of its proper divisors (10027872).

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

4537728 is a wasteful number, since it uses less digits than its factorization.

4537728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 119 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 4537728 is about 2130.1943573299. The cubic root of 4537728 is about 165.5564682889.

It can be divided in two parts, 45 and 37728, that added together give a palindrome (37773).

The spelling of 4537728 in words is "four million, five hundred thirty-seven thousand, seven hundred twenty-eight".