628688736 has 192 divisors, whose sum is σ = 1991485440. Its totient is φ = 191808000.

The previous prime is 628688699. The next prime is 628688737. The reversal of 628688736 is 637886826.

It is a happy number.

628688736 is a `hidden beast` number, since 628 + 6 + 8 + 8 + 7 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628688737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2504611 + ... + 2504861.

It is an arithmetic number, because the mean of its divisors is an integer number (10372320).

Almost surely, 2^628688736 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 628688736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995742720).

628688736 is an abundant number, since it is smaller than the sum of its proper divisors (1362796704).

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

628688736 is a wasteful number, since it uses less digits than its factorization.

628688736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 492 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 628688736 is about 25073.6661858612. Note that the first 3 decimals coincide. The cubic root of 628688736 is about 856.6667149810. Note that the first 3 decimals are identical.

The spelling of 628688736 in words is "six hundred twenty-eight million, six hundred eighty-eight thousand, seven hundred thirty-six".