1679028228288 has 168 divisors, whose sum is σ = 5071853508800. Its totient is φ = 529599223296.

The previous prime is 1679028228259. The next prime is 1679028228299. The reversal of 1679028228288 is 8828228209761.

1679028228288 is a `hidden beast` number, since 1 + 6 + 79 + 0 + 282 + 2 + 8 + 288 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9311595 + ... + 9490197.

Almost surely, 2^{1679028228288} is an apocalyptic number.

1679028228288 is a gapful number since it is divisible by the number (18) 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 1679028228288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2535926754400).

1679028228288 is an abundant number, since it is smaller than the sum of its proper divisors (3392825280512).

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

1679028228288 is a wasteful number, since it uses less digits than its factorization.

1679028228288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179499 (or 179486 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 1679028228288 in words is "one trillion, six hundred seventy-nine billion, twenty-eight million, two hundred twenty-eight thousand, two hundred eighty-eight".