48824672 has 48 divisors (see below), whose sum is σ = 104160672. Its totient is φ = 22394880.

The previous prime is 48824669. The next prime is 48824687. The reversal of 48824672 is 27642884.

It is a super-3 number, since 3×48824672³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100013 + ... + 100499.

It is an arithmetic number, because the mean of its divisors is an integer number (2170014).

Almost surely, 2^48824672 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 48824672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52080336).

48824672 is an abundant number, since it is smaller than the sum of its proper divisors (55336000).

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

48824672 is a wasteful number, since it uses less digits than its factorization.

48824672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 743 counting only the distinct ones).

The product of its digits is 172032, while the sum is 41.

The square root of 48824672 is about 6987.4653487513. The cubic root of 48824672 is about 365.4936012798.

The spelling of 48824672 in words is "forty-eight million, eight hundred twenty-four thousand, six hundred seventy-two".