13897728000 has 768 divisors, whose sum is σ = 55820091600. Its totient is φ = 3303014400.

The previous prime is 13897727981. The next prime is 13897728001. The reversal of 13897728000 is 82779831.

It can be written as a sum of positive squares in 8 ways, for example, as 147456 + 13897580544 = 384^2 + 117888^2 .

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13897728001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 479231986 + ... + 479232014.

Almost surely, 2^13897728000 is an apocalyptic number.

13897728000 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 13897728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27910045800).

13897728000 is an abundant number, since it is smaller than the sum of its proper divisors (41922363600).

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

13897728000 is an equidigital number, since it uses as much as digits as its factorization.

13897728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 13897728000 in words is "thirteen billion, eight hundred ninety-seven million, seven hundred twenty-eight thousand".