1428579533824 has 99 divisors (see below), whose sum is σ = 2930332205173. Its totient is φ = 696103116800.

The previous prime is 1428579533819. The next prime is 1428579533837. The reversal of 1428579533824 is 4283359758241.

It is a happy number.

The square root of 1428579533824 is 1195232.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 68836967424 + 1359742566400 = 262368^2 + 1166080^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1568143929 + ... + 1568144839.

Almost surely, 2^{1428579533824} is an apocalyptic number.

1428579533824 is the 1195232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1428579533824

1428579533824 is an abundant number, since it is smaller than the sum of its proper divisors (1501752671349).

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

1428579533824 is an frugal number, since it uses more digits than its factorization.

1428579533824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 954 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 61.

The spelling of 1428579533824 in words is "one trillion, four hundred twenty-eight billion, five hundred seventy-nine million, five hundred thirty-three thousand, eight hundred twenty-four".