48628752 has 80 divisors (see below), whose sum is σ = 134277120. Its totient is φ = 15120000.

The previous prime is 48628729. The next prime is 48628753. The reversal of 48628752 is 25782684.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (48628753) 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, 64377 + ... + 65127.

It is an arithmetic number, because the mean of its divisors is an integer number (1678464).

Almost surely, 2^48628752 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 48628752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67138560).

48628752 is an abundant number, since it is smaller than the sum of its proper divisors (85648368).

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

48628752 is a wasteful number, since it uses less digits than its factorization.

48628752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 846 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 48628752 is about 6973.4318667353. The cubic root of 48628752 is about 365.0040707621.

The spelling of 48628752 in words is "forty-eight million, six hundred twenty-eight thousand, seven hundred fifty-two".