56048000 has 128 divisors (see below), whose sum is σ = 145117440. Its totient is φ = 21504000.

The previous prime is 56047993. The next prime is 56048009. The reversal of 56048000 is 84065.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56048009) 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, 495944 + ... + 496056.

It is an arithmetic number, because the mean of its divisors is an integer number (1133730).

Almost surely, 2^56048000 is an apocalyptic number.

56048000 is a gapful number since it is divisible by the number (50) 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 56048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72558720).

56048000 is an abundant number, since it is smaller than the sum of its proper divisors (89069440).

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

56048000 is a wasteful number, since it uses less digits than its factorization.

56048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 56048000 is about 7486.5212215020. The cubic root of 56048000 is about 382.6955156911.

The spelling of 56048000 in words is "fifty-six million, forty-eight thousand".