628728643952640 has 3584 divisors, whose sum is σ = 2898473020416000. Its totient is φ = 128134828523520.

The previous prime is 628728643952621. The next prime is 628728643952713. The reversal of 628728643952640 is 46259346827826.

628728643952640 is a `hidden beast` number, since 6 + 2 + 8 + 7 + 2 + 8 + 64 + 39 + 526 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 221149715059 + ... + 221149717901.

Almost surely, 2^{628728643952640} is an apocalyptic number.

628728643952640 is a gapful number since it is divisible by the number (60) 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 628728643952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449236510208000).

628728643952640 is an abundant number, since it is smaller than the sum of its proper divisors (2269744376463360).

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

628728643952640 is a wasteful number, since it uses less digits than its factorization.

628728643952640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2968 (or 2924 counting only the distinct ones).

The product of its (nonzero) digits is 1672151040, while the sum is 72.

The spelling of 628728643952640 in words is "six hundred twenty-eight trillion, seven hundred twenty-eight billion, six hundred forty-three million, nine hundred fifty-two thousand, six hundred forty".