1468027484728 has 64 divisors (see below), whose sum is σ = 3223860292800. Its totient is φ = 613550177280.

The previous prime is 1468027484723. The next prime is 1468027484743. The reversal of 1468027484728 is 8274847208641.

It is a happy number.

It is a super-3 number, since 3×1468027484728³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1468027484723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5351326 + ... + 5618962.

It is an arithmetic number, because the mean of its divisors is an integer number (50372817075).

Almost surely, 2^{1468027484728} 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 1468027484728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611930146400).

1468027484728 is an abundant number, since it is smaller than the sum of its proper divisors (1755832808072).

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

1468027484728 is a wasteful number, since it uses less digits than its factorization.

1468027484728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270080 (or 270076 counting only the distinct ones).

The product of its (nonzero) digits is 38535168, while the sum is 61.

The spelling of 1468027484728 in words is "one trillion, four hundred sixty-eight billion, twenty-seven million, four hundred eighty-four thousand, seven hundred twenty-eight".