56684628 has 216 divisors, whose sum is σ = 195039936. Its totient is φ = 13590720.

The previous prime is 56684609. The next prime is 56684651. The reversal of 56684628 is 82648665.

56684628 is a `hidden beast` number, since 566 + 84 + 6 + 2 + 8 = 666.

56684628 is a nontrivial binomial coefficient, being equal to C(10648, 2).

Its product of digits (552960) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4360350 + ... + 4360362.

Almost surely, 2^56684628 is an apocalyptic number.

56684628 is the 10647-th triangular number and also the 5324-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56684628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97519968).

56684628 is an abundant number, since it is smaller than the sum of its proper divisors (138355308).

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

56684628 is a wasteful number, since it uses less digits than its factorization.

56684628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 36 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 56684628 is about 7528.9194443824. The cubic root of 56684628 is about 384.1390284343.

It can be divided in two parts, 5668 and 4628, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 56684628 in words is "fifty-six million, six hundred eighty-four thousand, six hundred twenty-eight".