48211968 has 192 divisors, whose sum is σ = 157248000. Its totient is φ = 12828672.

The previous prime is 48211967. The next prime is 48211973. The reversal of 48211968 is 86911284.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (48211967) 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 15 ways as a sum of consecutive naturals, for example, 817123 + ... + 817181.

It is an arithmetic number, because the mean of its divisors is an integer number (819000).

Almost surely, 2^48211968 is an apocalyptic number.

48211968 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 48211968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78624000).

48211968 is an abundant number, since it is smaller than the sum of its proper divisors (109036032).

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

48211968 is a wasteful number, since it uses less digits than its factorization.

48211968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 90 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 48211968 is about 6943.4838517851. The cubic root of 48211968 is about 363.9582933336.

The spelling of 48211968 in words is "forty-eight million, two hundred eleven thousand, nine hundred sixty-eight".