1428837236736 has 576 divisors, whose sum is σ = 4762429475328. Its totient is φ = 370994577408.

The previous prime is 1428837236719. The next prime is 1428837236773. The reversal of 1428837236736 is 6376327388241.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1428837236736.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2612133615 + ... + 2612134161.

It is an arithmetic number, because the mean of its divisors is an integer number (8268106728).

Almost surely, 2^{1428837236736} is an apocalyptic number.

1428837236736 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 1428837236736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2381214737664).

1428837236736 is an abundant number, since it is smaller than the sum of its proper divisors (3333592238592).

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

1428837236736 is an frugal number, since it uses more digits than its factorization.

1428837236736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 645 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 60.

The spelling of 1428837236736 in words is "one trillion, four hundred twenty-eight billion, eight hundred thirty-seven million, two hundred thirty-six thousand, seven hundred thirty-six".