13273007328 has 240 divisors, whose sum is σ = 44836412544. Its totient is φ = 3773226240.

The previous prime is 13273007311. The next prime is 13273007339. The reversal of 13273007328 is 82370037231.

13273007328 is a `hidden beast` number, since 1 + 3 + 27 + 300 + 7 + 328 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13273007292 and 13273007301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3826651 + ... + 3830117.

Almost surely, 2^13273007328 is an apocalyptic number.

13273007328 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 13273007328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22418206272).

13273007328 is an abundant number, since it is smaller than the sum of its proper divisors (31563405216).

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

13273007328 is a wasteful number, since it uses less digits than its factorization.

13273007328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3707 (or 3690 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 13273007328 in words is "thirteen billion, two hundred seventy-three million, seven thousand, three hundred twenty-eight".