56628208 has 160 divisors (see below), whose sum is σ = 149990400. Its totient is φ = 20072448.

The previous prime is 56628193. The next prime is 56628223. The reversal of 56628208 is 80282665.

It is an interprime number because it is at equal distance from previous prime (56628193) and next prime (56628223).

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 31 ways as a sum of consecutive naturals, for example, 636228 + ... + 636316.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 2^56628208 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 56628208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74995200).

56628208 is an abundant number, since it is smaller than the sum of its proper divisors (93362192).

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

56628208 is a wasteful number, since it uses less digits than its factorization.

56628208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 56628208 is about 7525.1716259498. The cubic root of 56628208 is about 384.0115375584.

It can be divided in two parts, 56628 and 208, that multiplied together give a square (11778624 = 3432²).

The spelling of 56628208 in words is "fifty-six million, six hundred twenty-eight thousand, two hundred eight".