49051728 has 120 divisors (see below), whose sum is σ = 151463520. Its totient is φ = 14695680.

The previous prime is 49051697. The next prime is 49051757. The reversal of 49051728 is 82715094.

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 = 49051692 and 49051701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273943 + ... + 274121.

It is an arithmetic number, because the mean of its divisors is an integer number (1262196).

Almost surely, 2^49051728 is an apocalyptic number.

49051728 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 49051728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75731760).

49051728 is an abundant number, since it is smaller than the sum of its proper divisors (102411792).

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

49051728 is a wasteful number, since it uses less digits than its factorization.

49051728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 49051728 is about 7003.6938825166. The cubic root of 49051728 is about 366.0592934484.

It can be divided in two parts, 490517 and 28, that added together give a triangular number (490545 = T₉₉₀).

The spelling of 49051728 in words is "forty-nine million, fifty-one thousand, seven hundred twenty-eight".