13249520928 has 288 divisors, whose sum is σ = 47169682560. Its totient is φ = 3439779840.

The previous prime is 13249520923. The next prime is 13249520939. The reversal of 13249520928 is 82902594231.

13249520928 is a `hidden beast` number, since 1 + 32 + 4 + 9 + 520 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (13249520923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 987223 + ... + 1000553.

It is an arithmetic number, because the mean of its divisors is an integer number (163783620).

Almost surely, 2^13249520928 is an apocalyptic number.

13249520928 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 13249520928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23584841280).

13249520928 is an abundant number, since it is smaller than the sum of its proper divisors (33920161632).

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

13249520928 is a wasteful number, since it uses less digits than its factorization.

13249520928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13400 (or 13389 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 13249520928 in words is "thirteen billion, two hundred forty-nine million, five hundred twenty thousand, nine hundred twenty-eight".