48361824 has 216 divisors, whose sum is σ = 168058800. Its totient is φ = 13128192.

The previous prime is 48361813. The next prime is 48361861. The reversal of 48361824 is 42816384.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 324502 + ... + 324650.

It is an arithmetic number, because the mean of its divisors is an integer number (778050).

Almost surely, 2^48361824 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 48361824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84029400).

48361824 is an abundant number, since it is smaller than the sum of its proper divisors (119696976).

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

48361824 is a wasteful number, since it uses less digits than its factorization.

48361824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 184 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 48361824 is about 6954.2666040353. The cubic root of 48361824 is about 364.3349973198.

The spelling of 48361824 in words is "forty-eight million, three hundred sixty-one thousand, eight hundred twenty-four".