48329624 has 64 divisors (see below), whose sum is σ = 109209600. Its totient is φ = 19603584.

The previous prime is 48329599. The next prime is 48329639. The reversal of 48329624 is 42692384.

It is a happy number.

48329624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (82944) is a multiple of the sum of its prime factors (432).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 202097 + ... + 202335.

It is an arithmetic number, because the mean of its divisors is an integer number (1706400).

Almost surely, 2^48329624 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 48329624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54604800).

48329624 is an abundant number, since it is smaller than the sum of its proper divisors (60879976).

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

48329624 is a wasteful number, since it uses less digits than its factorization.

48329624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 428 counting only the distinct ones).

The product of its digits is 82944, while the sum is 38.

The square root of 48329624 is about 6951.9510930386. The cubic root of 48329624 is about 364.2541195352.

The spelling of 48329624 in words is "forty-eight million, three hundred twenty-nine thousand, six hundred twenty-four".