49321628928 has 648 divisors, whose sum is σ = 174159265280. Its totient is φ = 13320806400.

The previous prime is 49321628911. The next prime is 49321628929. The reversal of 49321628928 is 82982612394.

49321628928 is a `hidden beast` number, since 4 + 9 + 3 + 2 + 1 + 628 + 9 + 2 + 8 = 666.

It is a super-2 number, since 2×49321628928² (a number of 22 digits) contains 22 as substring.

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 (49321628929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 112349733 + ... + 112350171.

Almost surely, 2^49321628928 is an apocalyptic number.

49321628928 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 49321628928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87079632640).

49321628928 is an abundant number, since it is smaller than the sum of its proper divisors (124837636352).

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

49321628928 is a wasteful number, since it uses less digits than its factorization.

49321628928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 499 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 49321628928 in words is "forty-nine billion, three hundred twenty-one million, six hundred twenty-eight thousand, nine hundred twenty-eight".