14203728000 has 1536 divisors, whose sum is σ = 67479609600. Its totient is φ = 2903040000.

The previous prime is 14203727983. The next prime is 14203728029. The reversal of 14203728000 is 82730241.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 232847970 + ... + 232848030.

Almost surely, 2^14203728000 is an apocalyptic number.

14203728000 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 14203728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33739804800).

14203728000 is an abundant number, since it is smaller than the sum of its proper divisors (53275881600).

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

14203728000 is a wasteful number, since it uses less digits than its factorization.

14203728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 14203728000 in words is "fourteen billion, two hundred three million, seven hundred twenty-eight thousand".