49724928 has 200 divisors, whose sum is σ = 163393560. Its totient is φ = 14929920.

The previous prime is 49724903. The next prime is 49724951. The reversal of 49724928 is 82942794.

49724928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 456138 + ... + 456246.

Almost surely, 2^49724928 is an apocalyptic number.

49724928 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 49724928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81696780).

49724928 is an abundant number, since it is smaller than the sum of its proper divisors (113668632).

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

49724928 is a wasteful number, since it uses less digits than its factorization.

49724928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 125 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 49724928 is about 7051.5904588965. The cubic root of 49724928 is about 367.7263245629.

It can be divided in two parts, 497 and 24928, that added together give a triangular number (25425 = T₂₂₅).

The spelling of 49724928 in words is "forty-nine million, seven hundred twenty-four thousand, nine hundred twenty-eight".