48132880 has 40 divisors (see below), whose sum is σ = 112974912. Its totient is φ = 19069824.

The previous prime is 48132869. The next prime is 48132901. The reversal of 48132880 is 8823184.

48132880 = T₁₉ + T₂₀ + ... + T₆₆₀.

48132880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 5749 + ... + 11371.

Almost surely, 2^48132880 is an apocalyptic number.

48132880 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 48132880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56487456).

48132880 is an abundant number, since it is smaller than the sum of its proper divisors (64842032).

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

48132880 is a wasteful number, since it uses less digits than its factorization.

48132880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5743 (or 5737 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 48132880 is about 6937.7863904851. The cubic root of 48132880 is about 363.7591692795.

The spelling of 48132880 in words is "forty-eight million, one hundred thirty-two thousand, eight hundred eighty".