48307968 has 144 divisors (see below), whose sum is σ = 148394400. Its totient is φ = 15482880.

The previous prime is 48307967. The next prime is 48307979. The reversal of 48307968 is 86970384.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48307967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200328 + ... + 200568.

Almost surely, 2^48307968 is an apocalyptic number.

48307968 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 48307968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74197200).

48307968 is an abundant number, since it is smaller than the sum of its proper divisors (100086432).

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

48307968 is a wasteful number, since it uses less digits than its factorization.

48307968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 48307968 is about 6950.3933701626. The cubic root of 48307968 is about 364.1997052507.

The spelling of 48307968 in words is "forty-eight million, three hundred seven thousand, nine hundred sixty-eight".