48858768 has 160 divisors (see below), whose sum is σ = 162846720. Its totient is φ = 13737600.

The previous prime is 48858767. The next prime is 48858769. The reversal of 48858768 is 86785884.

It is an interprime number because it is at equal distance from previous prime (48858767) and next prime (48858769).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (48858763) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 323493 + ... + 323643.

It is an arithmetic number, because the mean of its divisors is an integer number (1017792).

Almost surely, 2^48858768 is an apocalyptic number.

48858768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48858768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81423360).

48858768 is an abundant number, since it is smaller than the sum of its proper divisors (113987952).

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

48858768 is a wasteful number, since it uses less digits than its factorization.

48858768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 270 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The square root of 48858768 is about 6989.9047203807. The cubic root of 48858768 is about 365.5786605308.

It can be divided in two parts, 4885876 and 8, that added together give a palindrome (4885884).

The spelling of 48858768 in words is "forty-eight million, eight hundred fifty-eight thousand, seven hundred sixty-eight".