48364128 has 120 divisors (see below), whose sum is σ = 145629792. Its totient is φ = 15738624.

The previous prime is 48364117. The next prime is 48364163. The reversal of 48364128 is 82146384.

48364128 is a `hidden beast` number, since 4 + 8 + 3 + 641 + 2 + 8 = 666.

48364128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 junction number, because it is equal to n+sod(n) for n = 48364092 and 48364101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 121626 + ... + 122022.

Almost surely, 2^48364128 is an apocalyptic number.

48364128 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 48364128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72814896).

48364128 is an abundant number, since it is smaller than the sum of its proper divisors (97265664).

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

48364128 is a wasteful number, since it uses less digits than its factorization.

48364128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 449 counting only the distinct ones).

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

The square root of 48364128 is about 6954.4322557632. The cubic root of 48364128 is about 364.3407829750.

The spelling of 48364128 in words is "forty-eight million, three hundred sixty-four thousand, one hundred twenty-eight".