1428588619000 has 64 divisors (see below), whose sum is σ = 3344943288960. Its totient is φ = 571085718400.

The previous prime is 1428588618997. The next prime is 1428588619001. The reversal of 1428588619000 is 9168858241.

It is a happy number.

It is a super-2 number, since 2×1428588619000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1428588619001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1200657 + ... + 2073343.

It is an arithmetic number, because the mean of its divisors is an integer number (52264738890).

Almost surely, 2^{1428588619000} is an apocalyptic number.

1428588619000 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 1428588619000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672471644480).

1428588619000 is an abundant number, since it is smaller than the sum of its proper divisors (1916354669960).

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

1428588619000 is a wasteful number, since it uses less digits than its factorization.

1428588619000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874345 (or 874331 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 52.

The spelling of 1428588619000 in words is "one trillion, four hundred twenty-eight billion, five hundred eighty-eight million, six hundred nineteen thousand".