48607776 has 288 divisors, whose sum is σ = 176117760. Its totient is φ = 12877056.

The previous prime is 48607753. The next prime is 48607817. The reversal of 48607776 is 67770684.

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

It is an unprimeable number.

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, 1034185 + ... + 1034231.

It is an arithmetic number, because the mean of its divisors is an integer number (611520).

Almost surely, 2^48607776 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 48607776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88058880).

48607776 is an abundant number, since it is smaller than the sum of its proper divisors (127509984).

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

48607776 is a wasteful number, since it uses less digits than its factorization.

48607776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 48607776 is about 6971.9277104686. The cubic root of 48607776 is about 364.9515817429.

The spelling of 48607776 in words is "forty-eight million, six hundred seven thousand, seven hundred seventy-six".