56284128 has 144 divisors (see below), whose sum is σ = 173365920. Its totient is φ = 17267712.

The previous prime is 56284117. The next prime is 56284133. The reversal of 56284128 is 82148265.

56284128 is a `hidden beast` number, since 5 + 628 + 4 + 1 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56284092 and 56284101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191950 + ... + 192242.

It is an arithmetic number, because the mean of its divisors is an integer number (1203930).

Almost surely, 2^56284128 is an apocalyptic number.

56284128 is a gapful number since it is divisible by the number (58) 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 56284128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86682960).

56284128 is an abundant number, since it is smaller than the sum of its proper divisors (117081792).

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

56284128 is a wasteful number, since it uses less digits than its factorization.

56284128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 350 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 56284128 is about 7502.2748550023. The cubic root of 56284128 is about 383.2321897404.

The spelling of 56284128 in words is "fifty-six million, two hundred eighty-four thousand, one hundred twenty-eight".