1643828160 has 224 divisors, whose sum is σ = 5677765632. Its totient is φ = 400527360.

The previous prime is 1643828159. The next prime is 1643828171. The reversal of 1643828160 is 618283461.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1334745 + ... + 1335975.

It is an arithmetic number, because the mean of its divisors is an integer number (25347168).

Almost surely, 2^1643828160 is an apocalyptic number.

1643828160 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 1643828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2838882816).

1643828160 is an abundant number, since it is smaller than the sum of its proper divisors (4033937472).

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

1643828160 is a wasteful number, since it uses less digits than its factorization.

1643828160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 1643828160 is about 40544.1507495224. The cubic root of 1643828160 is about 1180.1905657945.

The spelling of 1643828160 in words is "one billion, six hundred forty-three million, eight hundred twenty-eight thousand, one hundred sixty".