628883498880 has 3072 divisors, whose sum is σ = 3063094272000. Its totient is φ = 120394874880.

The previous prime is 628883498863. The next prime is 628883498891. The reversal of 628883498880 is 88894388826.

It is a super-2 number, since 2×628883498880² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 628883498799 and 628883498808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6483334992 + ... + 6483335088.

It is an arithmetic number, because the mean of its divisors is an integer number (997101000).

Almost surely, 2^628883498880 is an apocalyptic number.

628883498880 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 628883498880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531547136000).

628883498880 is an abundant number, since it is smaller than the sum of its proper divisors (2434210773120).

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

628883498880 is a wasteful number, since it uses less digits than its factorization.

628883498880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 339738624, while the sum is 72.

The spelling of 628883498880 in words is "six hundred twenty-eight billion, eight hundred eighty-three million, four hundred ninety-eight thousand, eight hundred eighty".