1628998096896 has 288 divisors, whose sum is σ = 4992632124480. Its totient is φ = 530364506112.

The previous prime is 1628998096889. The next prime is 1628998096931. The reversal of 1628998096896 is 6986908998261.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (81).

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, 21361491 + ... + 21437613.

It is an arithmetic number, because the mean of its divisors is an integer number (17335528210).

Almost surely, 2^{1628998096896} is an apocalyptic number.

1628998096896 is a gapful number since it is divisible by the number (16) 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 1628998096896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496316062240).

1628998096896 is an abundant number, since it is smaller than the sum of its proper divisors (3363634027584).

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

1628998096896 is an frugal number, since it uses more digits than its factorization.

1628998096896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76203 (or 76171 counting only the distinct ones).

The product of its (nonzero) digits is 1451188224, while the sum is 81.

The spelling of 1628998096896 in words is "one trillion, six hundred twenty-eight billion, nine hundred ninety-eight million, ninety-six thousand, eight hundred ninety-six".