1428643973952 has 896 divisors, whose sum is σ = 4828804485120. Its totient is φ = 411140136960.

The previous prime is 1428643973899. The next prime is 1428643973971. The reversal of 1428643973952 is 2593793468241.

1428643973952 is a `hidden beast` number, since 1 + 4 + 2 + 86 + 439 + 73 + 9 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1428643973952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2537555623 + ... + 2537556185.

It is an arithmetic number, because the mean of its divisors is an integer number (5389290720).

Almost surely, 2^{1428643973952} is an apocalyptic number.

1428643973952 is a gapful number since it is divisible by the number (12) 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 1428643973952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2414402242560).

1428643973952 is an abundant number, since it is smaller than the sum of its proper divisors (3400160511168).

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

1428643973952 is a wasteful number, since it uses less digits than its factorization.

1428643973952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 732 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 1428643973952 in words is "one trillion, four hundred twenty-eight billion, six hundred forty-three million, nine hundred seventy-three thousand, nine hundred fifty-two".