13241928000 has 672 divisors, whose sum is σ = 52588972800. Its totient is φ = 2875699200.

The previous prime is 13241927987. The next prime is 13241928017. The reversal of 13241928000 is 82914231.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88871926 + ... + 88872074.

It is an arithmetic number, because the mean of its divisors is an integer number (78257400).

Almost surely, 2^13241928000 is an apocalyptic number.

13241928000 is a gapful number since it is divisible by the number (10) 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 13241928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26294486400).

13241928000 is an abundant number, since it is smaller than the sum of its proper divisors (39347044800).

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

13241928000 is a wasteful number, since it uses less digits than its factorization.

13241928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 13241928000 in words is "thirteen billion, two hundred forty-one million, nine hundred twenty-eight thousand".