48279672 has 128 divisors (see below), whose sum is σ = 157593600. Its totient is φ = 13405824.

The previous prime is 48279667. The next prime is 48279733. The reversal of 48279672 is 27697284.

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 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, 55513 + ... + 56375.

It is an arithmetic number, because the mean of its divisors is an integer number (1231200).

Almost surely, 2^48279672 is an apocalyptic number.

48279672 is a gapful number since it is divisible by the number (42) 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 48279672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78796800).

48279672 is an abundant number, since it is smaller than the sum of its proper divisors (109313928).

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

48279672 is a wasteful number, since it uses less digits than its factorization.

48279672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 912 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 48279672 is about 6948.3575037558. The cubic root of 48279672 is about 364.1285823556.

The spelling of 48279672 in words is "forty-eight million, two hundred seventy-nine thousand, six hundred seventy-two".