48735968 has 48 divisors (see below), whose sum is σ = 100550016. Its totient is φ = 23224320.

The previous prime is 48735961. The next prime is 48735983. The reversal of 48735968 is 86953784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48735961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72080 + ... + 72752.

It is an arithmetic number, because the mean of its divisors is an integer number (2094792).

Almost surely, 2^48735968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48735968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50275008).

48735968 is an abundant number, since it is smaller than the sum of its proper divisors (51814048).

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

48735968 is a wasteful number, since it uses less digits than its factorization.

48735968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 779 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 50.

The square root of 48735968 is about 6981.1150971747. The cubic root of 48735968 is about 365.2721258332.

The spelling of 48735968 in words is "forty-eight million, seven hundred thirty-five thousand, nine hundred sixty-eight".