1532917729728 has 1008 divisors, whose sum is σ = 5907450232320. Its totient is φ = 370884096000.

The previous prime is 1532917729699. The next prime is 1532917729793. The reversal of 1532917729728 is 8279277192351.

1532917729728 is a `hidden beast` number, since 1 + 5 + 329 + 17 + 7 + 297 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×1532917729728² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 565442293 + ... + 565445003.

Almost surely, 2^{1532917729728} is an apocalyptic number.

1532917729728 is a gapful number since it is divisible by the number (18) 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 1532917729728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2953725116160).

1532917729728 is an abundant number, since it is smaller than the sum of its proper divisors (4374532502592).

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

1532917729728 is a wasteful number, since it uses less digits than its factorization.

1532917729728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2838 (or 2814 counting only the distinct ones).

The product of its digits is 26671680, while the sum is 63.

The spelling of 1532917729728 in words is "one trillion, five hundred thirty-two billion, nine hundred seventeen million, seven hundred twenty-nine thousand, seven hundred twenty-eight".