48996288 has 252 divisors, whose sum is σ = 166883080. Its totient is φ = 13685760.

The previous prime is 48996257. The next prime is 48996289. The reversal of 48996288 is 88269984.

48996288 is a `hidden beast` number, since 4 + 8 + 9 + 9 + 628 + 8 = 666.

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

Its product of digits (1990656) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48996289) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1324206 + ... + 1324242.

Almost surely, 2^48996288 is an apocalyptic number.

48996288 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 48996288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83441540).

48996288 is an abundant number, since it is smaller than the sum of its proper divisors (117886792).

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

48996288 is a wasteful number, since it uses less digits than its factorization.

48996288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 72 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 48996288 is about 6999.7348521212. The cubic root of 48996288 is about 365.9213303997.

It can be divided in two parts, 48996 and 288, that added together give a square (49284 = 222²).

The spelling of 48996288 in words is "forty-eight million, nine hundred ninety-six thousand, two hundred eighty-eight".