13828752000 has 1024 divisors, whose sum is σ = 61865856000. Its totient is φ = 2963865600.

The previous prime is 13828751977. The next prime is 13828752019. The reversal of 13828752000 is 25782831.

13828752000 is a `hidden beast` number, since 1 + 382 + 8 + 75 + 200 + 0 = 666.

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, 51407866 + ... + 51408134.

It is an arithmetic number, because the mean of its divisors is an integer number (60415875).

Almost surely, 2^13828752000 is an apocalyptic number.

13828752000 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 13828752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30932928000).

13828752000 is an abundant number, since it is smaller than the sum of its proper divisors (48037104000).

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

13828752000 is a wasteful number, since it uses less digits than its factorization.

13828752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 13828752000 in words is "thirteen billion, eight hundred twenty-eight million, seven hundred fifty-two thousand".