1643728152 has 192 divisors, whose sum is σ = 4855939200. Its totient is φ = 458472960.

The previous prime is 1643728129. The next prime is 1643728153. The reversal of 1643728152 is 2518273461.

It is a self number, because there is not a number n which added to its sum of digits gives 1643728152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1643728153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22516788 + ... + 22516860.

It is an arithmetic number, because the mean of its divisors is an integer number (25291350).

Almost surely, 2^1643728152 is an apocalyptic number.

1643728152 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 1643728152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2427969600).

1643728152 is an abundant number, since it is smaller than the sum of its proper divisors (3212211048).

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

1643728152 is a wasteful number, since it uses less digits than its factorization.

1643728152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 175 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 1643728152 is about 40542.9174085931. The cubic root of 1643728152 is about 1180.1666316440.

The spelling of 1643728152 in words is "one billion, six hundred forty-three million, seven hundred twenty-eight thousand, one hundred fifty-two".