49829328 has 60 divisors (see below), whose sum is σ = 142105860. Its totient is φ = 16293888.

The previous prime is 49829327. The next prime is 49829333. The reversal of 49829328 is 82392894.

49829328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 18558864 + 31270464 = 4308^2 + 5592^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49829321) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4368 + ... + 10896.

It is an arithmetic number, because the mean of its divisors is an integer number (2368431).

Almost surely, 2^49829328 is an apocalyptic number.

49829328 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 49829328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71052930).

49829328 is an abundant number, since it is smaller than the sum of its proper divisors (92276532).

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

49829328 is a wasteful number, since it uses less digits than its factorization.

49829328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6596 (or 6587 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 49829328 is about 7058.9891627626. The cubic root of 49829328 is about 367.9834979998.

The spelling of 49829328 in words is "forty-nine million, eight hundred twenty-nine thousand, three hundred twenty-eight".