48327840 has 288 divisors, whose sum is σ = 188225856. Its totient is φ = 11612160.

The previous prime is 48327823. The next prime is 48327841. The reversal of 48327840 is 4872384.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 48327795 and 48327804.

It is not an unprimeable number, because it can be changed into a prime (48327841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 427624 + ... + 427736.

It is an arithmetic number, because the mean of its divisors is an integer number (653562).

Almost surely, 2^48327840 is an apocalyptic number.

48327840 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 48327840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94112928).

48327840 is an abundant number, since it is smaller than the sum of its proper divisors (139898016).

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

48327840 is a wasteful number, since it uses less digits than its factorization.

48327840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 48327840 is about 6951.8227825514. The cubic root of 48327840 is about 364.2496375543.

The spelling of 48327840 in words is "forty-eight million, three hundred twenty-seven thousand, eight hundred forty".