48622728 has 128 divisors (see below), whose sum is σ = 153861120. Its totient is φ = 12437760.

The previous prime is 48622727. The next prime is 48622733. The reversal of 48622728 is 82722684.

48622728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 6973²-1.

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

It is not an unprimeable number, because it can be changed into a prime (48622727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153226 + ... + 153542.

It is an arithmetic number, because the mean of its divisors is an integer number (1202040).

Almost surely, 2^48622728 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 48622728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76930560).

48622728 is an abundant number, since it is smaller than the sum of its proper divisors (105238392).

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

48622728 is a wasteful number, since it uses less digits than its factorization.

48622728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 423 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 48622728 is about 6972.9999282949. Note that the first 4 decimals coincide. The cubic root of 48622728 is about 364.9889982297.

The spelling of 48622728 in words is "forty-eight million, six hundred twenty-two thousand, seven hundred twenty-eight".