1628893119168 has 1792 divisors, whose sum is σ = 6269770137600. Its totient is φ = 404103168000.

The previous prime is 1628893119101. The next prime is 1628893119179. The reversal of 1628893119168 is 8619113988261.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 22942156573 + ... + 22942156643.

Almost surely, 2^{1628893119168} is an apocalyptic number.

1628893119168 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 1628893119168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3134885068800).

1628893119168 is an abundant number, since it is smaller than the sum of its proper divisors (4640877018432).

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

1628893119168 is a wasteful number, since it uses less digits than its factorization.

1628893119168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 251 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 63.

The spelling of 1628893119168 in words is "one trillion, six hundred twenty-eight billion, eight hundred ninety-three million, one hundred nineteen thousand, one hundred sixty-eight".