48988160 has 128 divisors (see below), whose sum is σ = 132118560. Its totient is φ = 17301504.

The previous prime is 48988157. The next prime is 48988171. The reversal of 48988160 is 6188984.

It is a happy number.

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

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2129909 + ... + 2129931.

Almost surely, 2^48988160 is an apocalyptic number.

48988160 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 48988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66059280).

48988160 is an abundant number, since it is smaller than the sum of its proper divisors (83130400).

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

48988160 is an equidigital number, since it uses as much as digits as its factorization.

48988160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 44.

The square root of 48988160 is about 6999.1542346201. The cubic root of 48988160 is about 365.9010950365.

The spelling of 48988160 in words is "forty-eight million, nine hundred eighty-eight thousand, one hundred sixty".