56006328 has 128 divisors (see below), whose sum is σ = 168376320. Its totient is φ = 15191040.

The previous prime is 56006273. The next prime is 56006329. The reversal of 56006328 is 82360065.

It is a junction number, because it is equal to n+sod(n) for n = 56006295 and 56006304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56006329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 323650 + ... + 323822.

It is an arithmetic number, because the mean of its divisors is an integer number (1315440).

Almost surely, 2^56006328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56006328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84188160).

56006328 is an abundant number, since it is smaller than the sum of its proper divisors (112369992).

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

56006328 is a wasteful number, since it uses less digits than its factorization.

56006328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 56006328 is about 7483.7375688890. The cubic root of 56006328 is about 382.6006467600.

The spelling of 56006328 in words is "fifty-six million, six thousand, three hundred twenty-eight".