56448132 has 48 divisors (see below), whose sum is σ = 144271680. Its totient is φ = 17071488.

The previous prime is 56448131. The next prime is 56448137. The reversal of 56448132 is 23184465.

It is a junction number, because it is equal to n+sod(n) for n = 56448093 and 56448102.

It is not an unprimeable number, because it can be changed into a prime (56448131) 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, 6138 + ... + 12270.

It is an arithmetic number, because the mean of its divisors is an integer number (3005660).

Almost surely, 2^56448132 is an apocalyptic number.

56448132 is a gapful number since it is divisible by the number (52) 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 56448132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72135840).

56448132 is an abundant number, since it is smaller than the sum of its proper divisors (87823548).

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

56448132 is a wasteful number, since it uses less digits than its factorization.

56448132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6212 (or 6210 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 56448132 is about 7513.1971889469. The cubic root of 56448132 is about 383.6040569435.

The spelling of 56448132 in words is "fifty-six million, four hundred forty-eight thousand, one hundred thirty-two".