48628160 has 112 divisors (see below), whose sum is σ = 140232384. Its totient is φ = 15679488.

The previous prime is 48628121. The next prime is 48628169. The reversal of 48628160 is 6182684.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 48628160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48628169) 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, 37442 + ... + 38718.

Almost surely, 2^48628160 is an apocalyptic number.

48628160 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 48628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70116192).

48628160 is an abundant number, since it is smaller than the sum of its proper divisors (91604224).

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

48628160 is a wasteful number, since it uses less digits than its factorization.

48628160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 48628160 is about 6973.3894197872. The cubic root of 48628160 is about 365.0025895857.

The spelling of 48628160 in words is "forty-eight million, six hundred twenty-eight thousand, one hundred sixty".