628231680000 has 1040 divisors, whose sum is σ = 2379747612000. Its totient is φ = 163676160000.

The previous prime is 628231679993. The next prime is 628231680001. The reversal of 628231680000 is 86132826.

628231680000 is a `hidden beast` number, since 628 + 23 + 1 + 6 + 8 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (628231680001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4216319926 + ... + 4216320074.

Almost surely, 2^628231680000 is an apocalyptic number.

628231680000 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 628231680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189873806000).

628231680000 is an abundant number, since it is smaller than the sum of its proper divisors (1751515932000).

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

628231680000 is an equidigital number, since it uses as much as digits as its factorization.

628231680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 628231680000 in words is "six hundred twenty-eight billion, two hundred thirty-one million, six hundred eighty thousand".