628275760220160 has 2592 divisors, whose sum is σ = 2474463113052840. Its totient is φ = 147238472908800.

The previous prime is 628275760220149. The next prime is 628275760220161. The reversal of 628275760220160 is 61022067572826.

628275760220160 is a `hidden beast` number, since 6 + 2 + 8 + 2 + 7 + 5 + 7 + 602 + 20 + 1 + 6 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 231886136484864 + 396389623735296 = 15227808^2 + 19909536^2 .

It is a junction number, because it is equal to n+sod(n) for n = 628275760220097 and 628275760220106.

It is not an unprimeable number, because it can be changed into a prime (628275760220161) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 4947053230017 + ... + 4947053230143.

Almost surely, 2^{628275760220160} is an apocalyptic number.

628275760220160 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 628275760220160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237231556526420).

628275760220160 is an abundant number, since it is smaller than the sum of its proper divisors (1846187352832680).

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

628275760220160 is a wasteful number, since it uses less digits than its factorization.

628275760220160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 628275760220160 in words is "six hundred twenty-eight trillion, two hundred seventy-five billion, seven hundred sixty million, two hundred twenty thousand, one hundred sixty".