620588628 has 240 divisors, whose sum is σ = 1885137408. Its totient is φ = 176256000.

The previous prime is 620588539. The next prime is 620588641. The reversal of 620588628 is 826885026.

620588628 is a `hidden beast` number, since 6 + 2 + 0 + 588 + 62 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4529776 + ... + 4529912.

Almost surely, 2^620588628 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 620588628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942568704).

620588628 is an abundant number, since it is smaller than the sum of its proper divisors (1264548780).

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

620588628 is a wasteful number, since it uses less digits than its factorization.

620588628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 620588628 is about 24911.6163265253. The cubic root of 620588628 is about 852.9716647015.

The spelling of 620588628 in words is "six hundred twenty million, five hundred eighty-eight thousand, six hundred twenty-eight".