1428648538356 has 216 divisors, whose sum is σ = 4045046844384. Its totient is φ = 438868964160.

The previous prime is 1428648538267. The next prime is 1428648538357. The reversal of 1428648538356 is 6538358468241.

1428648538356 is a `hidden beast` number, since 1 + 4 + 2 + 8 + 6 + 48 + 538 + 3 + 56 = 666.

It is a super-2 number, since 2×1428648538356² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1428648538293 and 1428648538302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1428648538357) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 233017411 + ... + 233023541.

It is an arithmetic number, because the mean of its divisors is an integer number (18727068724).

Almost surely, 2^{1428648538356} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1428648538356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2022523422192).

1428648538356 is an abundant number, since it is smaller than the sum of its proper divisors (2616398306028).

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

1428648538356 is an equidigital number, since it uses as much as digits as its factorization.

1428648538356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6855 (or 6832 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 63.

The spelling of 1428648538356 in words is "one trillion, four hundred twenty-eight billion, six hundred forty-eight million, five hundred thirty-eight thousand, three hundred fifty-six".