1998828828672 has 288 divisors, whose sum is σ = 5930147779920. Its totient is φ = 595161907200.

The previous prime is 1998828828649. The next prime is 1998828828707. The reversal of 1998828828672 is 2768288288991.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 76743972 + ... + 76770012.

Almost surely, 2^{1998828828672} is an apocalyptic number.

1998828828672 is a gapful number since it is divisible by the number (12) 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 1998828828672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2965073889960).

1998828828672 is an abundant number, since it is smaller than the sum of its proper divisors (3931318951248).

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

1998828828672 is a wasteful number, since it uses less digits than its factorization.

1998828828672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26141 (or 26090 counting only the distinct ones).

The product of its digits is 891813888, while the sum is 78.

The spelling of 1998828828672 in words is "one trillion, nine hundred ninety-eight billion, eight hundred twenty-eight million, eight hundred twenty-eight thousand, six hundred seventy-two".