48300242328 has 320 divisors, whose sum is σ = 153789451200. Its totient is φ = 14050713600.

The previous prime is 48300242327. The next prime is 48300242377. The reversal of 48300242328 is 82324200384.

It is a happy number.

48300242328 is a `hidden beast` number, since 4 + 8 + 300 + 24 + 2 + 328 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 48300242292 and 48300242301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48300242327) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17242528 + ... + 17245328.

It is an arithmetic number, because the mean of its divisors is an integer number (480592035).

Almost surely, 2^48300242328 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 48300242328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76894725600).

48300242328 is an abundant number, since it is smaller than the sum of its proper divisors (105489208872).

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

48300242328 is a wasteful number, since it uses less digits than its factorization.

48300242328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944 (or 2931 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 48300242328 in words is "forty-eight billion, three hundred million, two hundred forty-two thousand, three hundred twenty-eight".