13628825532 has 192 divisors, whose sum is σ = 41909002240. Its totient is φ = 3748902912.

The previous prime is 13628825531. The next prime is 13628825543. The reversal of 13628825532 is 23552882631.

13628825532 is a `hidden beast` number, since 1 + 36 + 2 + 8 + 82 + 5 + 532 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13628825531) 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, 2710773 + ... + 2715795.

Almost surely, 2^13628825532 is an apocalyptic number.

13628825532 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 13628825532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20954501120).

13628825532 is an abundant number, since it is smaller than the sum of its proper divisors (28280176708).

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

13628825532 is a wasteful number, since it uses less digits than its factorization.

13628825532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5177 (or 5169 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

It can be divided in two parts, 13628 and 825532, that added together give a triangular number (839160 = T₁₂₉₅).

The spelling of 13628825532 in words is "thirteen billion, six hundred twenty-eight million, eight hundred twenty-five thousand, five hundred thirty-two".