1428883142760 has 256 divisors, whose sum is σ = 4914235872000. Its totient is φ = 369065963520.

The previous prime is 1428883142723. The next prime is 1428883142779. The reversal of 1428883142760 is 672413888241.

1428883142760 is a `hidden beast` number, since 1 + 4 + 2 + 88 + 83 + 1 + 427 + 60 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 1428883142697 and 1428883142706.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6038844 + ... + 6270996.

It is an arithmetic number, because the mean of its divisors is an integer number (19196233875).

Almost surely, 2^{1428883142760} is an apocalyptic number.

1428883142760 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 1428883142760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457117936000).

1428883142760 is an abundant number, since it is smaller than the sum of its proper divisors (3485352729240).

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

1428883142760 is a wasteful number, since it uses less digits than its factorization.

1428883142760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232353 (or 232343 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 1428883142760 in words is "one trillion, four hundred twenty-eight billion, eight hundred eighty-three million, one hundred forty-two thousand, seven hundred sixty".