49728928 has 48 divisors (see below), whose sum is σ = 104328000. Its totient is φ = 23265792.

The previous prime is 49728911. The next prime is 49728937. The reversal of 49728928 is 82982794.

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, 53653 + ... + 54571.

It is an arithmetic number, because the mean of its divisors is an integer number (2173500).

Almost surely, 2^49728928 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 49728928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52164000).

49728928 is an abundant number, since it is smaller than the sum of its proper divisors (54599072).

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

49728928 is a wasteful number, since it uses less digits than its factorization.

49728928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1029 counting only the distinct ones).

The product of its digits is 580608, while the sum is 49.

The square root of 49728928 is about 7051.8740771514. The cubic root of 49728928 is about 367.7361845796.

It can be divided in two parts, 4972892 and 8, that added together give a square (4972900 = 2230²).

The spelling of 49728928 in words is "forty-nine million, seven hundred twenty-eight thousand, nine hundred twenty-eight".