1528729425564 has 192 divisors, whose sum is σ = 3998334756864. Its totient is φ = 454452768000.

The previous prime is 1528729425563. The next prime is 1528729425583. The reversal of 1528729425564 is 4655249278251.

It is a junction number, because it is equal to n+sod(n) for n = 1528729425498 and 1528729425507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1528729425563) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 410175069 + ... + 410178795.

It is an arithmetic number, because the mean of its divisors is an integer number (20824660192).

Almost surely, 2^{1528729425564} 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 1528729425564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999167378432).

1528729425564 is an abundant number, since it is smaller than the sum of its proper divisors (2469605331300).

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

1528729425564 is a wasteful number, since it uses less digits than its factorization.

1528729425564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4249 (or 4225 counting only the distinct ones).

The product of its digits is 48384000, while the sum is 60.

The spelling of 1528729425564 in words is "one trillion, five hundred twenty-eight billion, seven hundred twenty-nine million, four hundred twenty-five thousand, five hundred sixty-four".