48788672 has 56 divisors (see below), whose sum is σ = 101559360. Its totient is φ = 23224320.

The previous prime is 48788669. The next prime is 48788711. The reversal of 48788672 is 27688784.

It is a self number, because there is not a number n which added to its sum of digits gives 48788672.

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 7 ways as a sum of consecutive naturals, for example, 179897 + ... + 180167.

It is an arithmetic number, because the mean of its divisors is an integer number (1813560).

Almost surely, 2^48788672 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 48788672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50779680).

48788672 is an abundant number, since it is smaller than the sum of its proper divisors (52770688).

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

48788672 is a wasteful number, since it uses less digits than its factorization.

48788672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 399 counting only the distinct ones).

The product of its digits is 1204224, while the sum is 50.

The square root of 48788672 is about 6984.8888323294. Note that the first 4 decimals coincide. The cubic root of 48788672 is about 365.4037491326.

It can be divided in two parts, 4878 and 8672, that multiplied together give a square (42302016 = 6504²).

The spelling of 48788672 in words is "forty-eight million, seven hundred eighty-eight thousand, six hundred seventy-two".