48329568 has 192 divisors, whose sum is σ = 164989440. Its totient is φ = 13478400.

The previous prime is 48329563. The next prime is 48329569. The reversal of 48329568 is 86592384.

48329568 is a `hidden beast` number, since 4 + 83 + 2 + 9 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48329563) 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, 368863 + ... + 368993.

It is an arithmetic number, because the mean of its divisors is an integer number (859320).

Almost surely, 2^48329568 is an apocalyptic number.

48329568 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 48329568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82494720).

48329568 is an abundant number, since it is smaller than the sum of its proper divisors (116659872).

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

48329568 is a wasteful number, since it uses less digits than its factorization.

48329568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 204 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 48329568 is about 6951.9470653911. The cubic root of 48329568 is about 364.2539788469.

It can be divided in two parts, 4832 and 9568, that added together give a square (14400 = 120²).

The spelling of 48329568 in words is "forty-eight million, three hundred twenty-nine thousand, five hundred sixty-eight".