49624128 has 84 divisors (see below), whose sum is σ = 143815308. Its totient is φ = 16358400.

The previous prime is 49624117. The next prime is 49624129. The reversal of 49624128 is 82142694.

49624128 is a `hidden beast` number, since 4 + 9 + 624 + 1 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25887744 + 23736384 = 5088^2 + 4872^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 49624092 and 49624101.

It is not an unprimeable number, because it can be changed into a prime (49624129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57750 + ... + 58602.

It is an arithmetic number, because the mean of its divisors is an integer number (1712087).

Almost surely, 2^49624128 is an apocalyptic number.

49624128 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 49624128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71907654).

49624128 is an abundant number, since it is smaller than the sum of its proper divisors (94191180).

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

49624128 is a wasteful number, since it uses less digits than its factorization.

49624128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 959 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 49624128 is about 7044.4395092867. The cubic root of 49624128 is about 367.4776773891.

The spelling of 49624128 in words is "forty-nine million, six hundred twenty-four thousand, one hundred twenty-eight".