13790867328 has 768 divisors, whose sum is σ = 50902732800. Its totient is φ = 3657830400.

The previous prime is 13790867309. The next prime is 13790867351. The reversal of 13790867328 is 82376809731.

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 95 ways as a sum of consecutive naturals, for example, 194237533 + ... + 194237603.

It is an arithmetic number, because the mean of its divisors is an integer number (66279600).

Almost surely, 2^13790867328 is an apocalyptic number.

13790867328 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 13790867328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25451366400).

13790867328 is an abundant number, since it is smaller than the sum of its proper divisors (37111865472).

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

13790867328 is a wasteful number, since it uses less digits than its factorization.

13790867328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 13790867328 in words is "thirteen billion, seven hundred ninety million, eight hundred sixty-seven thousand, three hundred twenty-eight".