50368128 has 64 divisors (see below), whose sum is σ = 138434400. Its totient is φ = 16206848.

The previous prime is 50368117. The next prime is 50368139. The reversal of 50368128 is 82186305.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (50368117) and next prime (50368139).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8875 + ... + 13397.

Almost surely, 2^50368128 is an apocalyptic number.

50368128 is a gapful number since it is divisible by the number (58) 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 50368128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69217200).

50368128 is an abundant number, since it is smaller than the sum of its proper divisors (88066272).

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

50368128 is a wasteful number, since it uses less digits than its factorization.

50368128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4569 (or 4557 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 50368128 is about 7097.0506550256. The cubic root of 50368128 is about 369.3050700901.

The spelling of 50368128 in words is "fifty million, three hundred sixty-eight thousand, one hundred twenty-eight".