49728 has 56 divisors (see below), whose sum is σ = 154432. Its totient is φ = 13824.

The previous prime is 49727. The next prime is 49739. The reversal of 49728 is 82794.

49728 is nontrivially palindromic in base 5.

It is a Cunningham number, because it is equal to 223²-1.

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 4² + 9 + 7⁵ + 2⁷ + 8⁵ .

It is a junction number, because it is equal to n+sod(n) for n = 49695 and 49704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1326 + ... + 1362.

2⁴⁹⁷²⁸ is an apocalyptic number.

49728 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 49728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77216).

49728 is an abundant number, since it is smaller than the sum of its proper divisors (104704).

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

49728 is a wasteful number, since it uses less digits than its factorization.

49728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 49 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 49728 is about 222.9977578363. The cubic root of 49728 is about 36.7733897103.

It can be divided in two parts, 497 and 28, that added together give a palindrome (525).

The spelling of 49728 in words is "forty-nine thousand, seven hundred twenty-eight".