49768320 has 288 divisors, whose sum is σ = 192908520. Its totient is φ = 10881024.

The previous prime is 49768309. The next prime is 49768349. The reversal of 49768320 is 2386794.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2163829 + ... + 2163851.

Almost surely, 2^49768320 is an apocalyptic number.

49768320 is a gapful number since it is divisible by the number (40) 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 49768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96454260).

49768320 is an abundant number, since it is smaller than the sum of its proper divisors (143140200).

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

49768320 is a wasteful number, since it uses less digits than its factorization.

49768320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 49768320 is about 7054.6665406665. Note that the first 3 decimals coincide. The cubic root of 49768320 is about 367.8332577932.

The spelling of 49768320 in words is "forty-nine million, seven hundred sixty-eight thousand, three hundred twenty".