1628117743320 has 256 divisors, whose sum is σ = 5790171340800. Its totient is φ = 405505751040.

The previous prime is 1628117743267. The next prime is 1628117743331. The reversal of 1628117743320 is 233477118261.

1628117743320 is a `hidden beast` number, since 1 + 6 + 28 + 1 + 177 + 433 + 20 = 666.

It is a super-2 number, since 2×1628117743320² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2066697 + ... + 2743623.

It is an arithmetic number, because the mean of its divisors is an integer number (22617856800).

Almost surely, 2^{1628117743320} is an apocalyptic number.

1628117743320 is a gapful number since it is divisible by the number (10) 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 1628117743320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2895085670400).

1628117743320 is an abundant number, since it is smaller than the sum of its proper divisors (4162053597480).

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

1628117743320 is a wasteful number, since it uses less digits than its factorization.

1628117743320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677095 (or 677085 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 1628117743320 in words is "one trillion, six hundred twenty-eight billion, one hundred seventeen million, seven hundred forty-three thousand, three hundred twenty".