48428160 has 128 divisors (see below), whose sum is σ = 168471360. Its totient is φ = 11735040.

The previous prime is 48428141. The next prime is 48428161. The reversal of 48428160 is 6182484.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (48428161) 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 15 ways as a sum of consecutive naturals, for example, 19974 + ... + 22266.

Almost surely, 2^48428160 is an apocalyptic number.

48428160 is a gapful number since it is divisible by the number (40) 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 48428160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84235680).

48428160 is an abundant number, since it is smaller than the sum of its proper divisors (120043200).

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

48428160 is a wasteful number, since it uses less digits than its factorization.

48428160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 48428160 is about 6959.0344157792. The cubic root of 48428160 is about 364.5015025124.

The spelling of 48428160 in words is "forty-eight million, four hundred twenty-eight thousand, one hundred sixty".