48336288 has 192 divisors, whose sum is σ = 170698752. Its totient is φ = 11566080.

The previous prime is 48336283. The next prime is 48336289. The reversal of 48336288 is 88263384.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48336283) 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, 95845 + ... + 96347.

It is an arithmetic number, because the mean of its divisors is an integer number (889056).

Almost surely, 2^48336288 is an apocalyptic number.

48336288 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 48336288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85349376).

48336288 is an abundant number, since it is smaller than the sum of its proper divisors (122362464).

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

48336288 is a wasteful number, since it uses less digits than its factorization.

48336288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 539 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 48336288 is about 6952.4303664258. The cubic root of 48336288 is about 364.2708606675.

The spelling of 48336288 in words is "forty-eight million, three hundred thirty-six thousand, two hundred eighty-eight".