48252288 has 128 divisors (see below), whose sum is σ = 151776000. Its totient is φ = 13289472.

The previous prime is 48252283. The next prime is 48252289. The reversal of 48252288 is 88225284.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48252283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77643 + ... + 78261.

It is an arithmetic number, because the mean of its divisors is an integer number (1185750).

Almost surely, 2^48252288 is an apocalyptic number.

48252288 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 48252288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75888000).

48252288 is an abundant number, since it is smaller than the sum of its proper divisors (103523712).

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

48252288 is a wasteful number, since it uses less digits than its factorization.

48252288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 660 counting only the distinct ones).

The product of its digits is 81920, while the sum is 39.

The square root of 48252288 is about 6946.3866866163. The cubic root of 48252288 is about 364.0597253364.

The spelling of 48252288 in words is "forty-eight million, two hundred fifty-two thousand, two hundred eighty-eight".