628563936 has 384 divisors, whose sum is σ = 2297659392. Its totient is φ = 145152000.

The previous prime is 628563919. The next prime is 628563937. The reversal of 628563936 is 639365826.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628563937) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2978871 + ... + 2979081.

It is an arithmetic number, because the mean of its divisors is an integer number (5983488).

Almost surely, 2^628563936 is an apocalyptic number.

628563936 is a gapful number since it is divisible by the number (66) 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 628563936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148829696).

628563936 is an abundant number, since it is smaller than the sum of its proper divisors (1669095456).

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

628563936 is a wasteful number, since it uses less digits than its factorization.

628563936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 278 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 48.

The square root of 628563936 is about 25071.1773955672. The cubic root of 628563936 is about 856.6100260478.

The spelling of 628563936 in words is "six hundred twenty-eight million, five hundred sixty-three thousand, nine hundred thirty-six".