628051895856 has 960 divisors, whose sum is σ = 2475921530880. Its totient is φ = 148536115200.

The previous prime is 628051895819. The next prime is 628051895869. The reversal of 628051895856 is 658598150826.

628051895856 is a `hidden beast` number, since 6 + 28 + 0 + 518 + 95 + 8 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 628051895793 and 628051895802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 192829780 + ... + 192833036.

It is an arithmetic number, because the mean of its divisors is an integer number (2579084928).

Almost surely, 2^628051895856 is an apocalyptic number.

628051895856 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 628051895856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237960765440).

628051895856 is an abundant number, since it is smaller than the sum of its proper divisors (1847869635024).

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

628051895856 is a wasteful number, since it uses less digits than its factorization.

628051895856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3351 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 63.

The spelling of 628051895856 in words is "six hundred twenty-eight billion, fifty-one million, eight hundred ninety-five thousand, eight hundred fifty-six".