49937328 has 120 divisors (see below), whose sum is σ = 161561088. Its totient is φ = 14103936.

The previous prime is 49937317. The next prime is 49937341. The reversal of 49937328 is 82373994.

It is a happy number.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 107625 + ... + 108087.

Almost surely, 2^49937328 is an apocalyptic number.

49937328 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 49937328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80780544).

49937328 is an abundant number, since it is smaller than the sum of its proper divisors (111623760).

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

49937328 is a wasteful number, since it uses less digits than its factorization.

49937328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 582 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 49937328 is about 7066.6348426956. The cubic root of 49937328 is about 368.2491617598.

It can be divided in two parts, 4993 and 7328, that added together give a palindrome (12321).

The spelling of 49937328 in words is "forty-nine million, nine hundred thirty-seven thousand, three hundred twenty-eight".