13273768728 has 480 divisors, whose sum is σ = 43505172480. Its totient is φ = 3772137600.

The previous prime is 13273768693. The next prime is 13273768747. The reversal of 13273768728 is 82786737231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 104517801 + ... + 104517927.

It is an arithmetic number, because the mean of its divisors is an integer number (90635776).

Almost surely, 2^13273768728 is an apocalyptic number.

13273768728 is a gapful number since it is divisible by the number (18) 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 13273768728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21752586240).

13273768728 is an abundant number, since it is smaller than the sum of its proper divisors (30231403752).

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

13273768728 is a wasteful number, since it uses less digits than its factorization.

13273768728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 217 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The spelling of 13273768728 in words is "thirteen billion, two hundred seventy-three million, seven hundred sixty-eight thousand, seven hundred twenty-eight".