1428253000000 has 98 divisors (see below), whose sum is σ = 3542694066998. Its totient is φ = 571300800000.

The previous prime is 1428252999977. The next prime is 1428253000019. The reversal of 1428253000000 is 3528241.

It can be written as a sum of positive squares in 7 ways, for example, as 1417071206464 + 11181793536 = 1190408^2 + 105744^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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 13 ways as a sum of consecutive naturals, for example, 285874 + ... + 1714126.

Almost surely, 2^{1428253000000} is an apocalyptic number.

1428253000000 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 1428253000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771347033499).

1428253000000 is an abundant number, since it is smaller than the sum of its proper divisors (2114441066998).

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

1428253000000 is an frugal number, since it uses more digits than its factorization.

1428253000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428295 (or 1428260 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 1428253000000 its reverse (3528241), we get a palindrome (1428256528241).

The spelling of 1428253000000 in words is "one trillion, four hundred twenty-eight billion, two hundred fifty-three million", and thus it is an aban number.