48368320 has 224 divisors, whose sum is σ = 155667456. Its totient is φ = 13824000.

The previous prime is 48368293. The next prime is 48368323. The reversal of 48368320 is 2386384.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×48368320³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (48368323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320245 + ... + 320395.

It is an arithmetic number, because the mean of its divisors is an integer number (694944).

Almost surely, 2^48368320 is an apocalyptic number.

48368320 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 48368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77833728).

48368320 is an abundant number, since it is smaller than the sum of its proper divisors (107299136).

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

48368320 is a wasteful number, since it uses less digits than its factorization.

48368320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 48368320 is about 6954.7336397593. The cubic root of 48368320 is about 364.3513091817.

The spelling of 48368320 in words is "forty-eight million, three hundred sixty-eight thousand, three hundred twenty".