1428028268544 has 280 divisors, whose sum is σ = 4272060176208. Its totient is φ = 475355381760.

The previous prime is 1428028268543. The next prime is 1428028268551. The reversal of 1428028268544 is 4458628208241.

1428028268544 is a `hidden beast` number, since 1 + 4 + 280 + 282 + 6 + 85 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1428028268543) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 856644799 + ... + 856646465.

Almost surely, 2^{1428028268544} 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 1428028268544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2136030088104).

1428028268544 is an abundant number, since it is smaller than the sum of its proper divisors (2844031907664).

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

1428028268544 is an equidigital number, since it uses as much as digits as its factorization.

1428028268544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2996 (or 2963 counting only the distinct ones).

The product of its (nonzero) digits is 7864320, while the sum is 54.

The spelling of 1428028268544 in words is "one trillion, four hundred twenty-eight billion, twenty-eight million, two hundred sixty-eight thousand, five hundred forty-four".