13252088928 has 96 divisors (see below), whose sum is σ = 37510754400. Its totient is φ = 4072329216.

The previous prime is 13252088911. The next prime is 13252088951. The reversal of 13252088928 is 82988025231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1028188 + ... + 1040996.

It is an arithmetic number, because the mean of its divisors is an integer number (390737025).

Almost surely, 2^13252088928 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 13252088928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18755377200).

13252088928 is an abundant number, since it is smaller than the sum of its proper divisors (24258665472).

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

13252088928 is a wasteful number, since it uses less digits than its factorization.

13252088928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13664 (or 13656 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 13252088928 in words is "thirteen billion, two hundred fifty-two million, eighty-eight thousand, nine hundred twenty-eight".