48627768 has 64 divisors (see below), whose sum is σ = 142709760. Its totient is φ = 13516416.

The previous prime is 48627737. The next prime is 48627781. The reversal of 48627768 is 86772684.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2305 + ... + 10127.

It is an arithmetic number, because the mean of its divisors is an integer number (2229840).

Almost surely, 2^48627768 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 48627768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71354880).

48627768 is an abundant number, since it is smaller than the sum of its proper divisors (94081992).

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

48627768 is a wasteful number, since it uses less digits than its factorization.

48627768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7876 (or 7872 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

The square root of 48627768 is about 6973.3613128820. The cubic root of 48627768 is about 365.0016088001.

The spelling of 48627768 in words is "forty-eight million, six hundred twenty-seven thousand, seven hundred sixty-eight".