13928544000 has 1152 divisors, whose sum is σ = 61221888000. Its totient is φ = 3115929600.

The previous prime is 13928543977. The next prime is 13928544013. The reversal of 13928544000 is 44582931.

13928544000 is a `hidden beast` number, since 139 + 2 + 85 + 440 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 296351977 + ... + 296352023.

It is an arithmetic number, because the mean of its divisors is an integer number (53144000).

Almost surely, 2^13928544000 is an apocalyptic number.

13928544000 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 13928544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30610944000).

13928544000 is an abundant number, since it is smaller than the sum of its proper divisors (47293344000).

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

13928544000 is an frugal number, since it uses more digits than its factorization.

13928544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 13928544000 in words is "thirteen billion, nine hundred twenty-eight million, five hundred forty-four thousand".