13167288 has 48 divisors (see below), whose sum is σ = 36499320. Its totient is φ = 4286016.

The previous prime is 13167251. The next prime is 13167317. The reversal of 13167288 is 88276131.

13167288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13167288³ (a number of 22 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 970 + ... + 5222.

Almost surely, 2^13167288 is an apocalyptic number.

13167288 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 13167288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18249660).

13167288 is an abundant number, since it is smaller than the sum of its proper divisors (23332032).

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

13167288 is a wasteful number, since it uses less digits than its factorization.

13167288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4308 (or 4301 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 13167288 is about 3628.6757915251. The cubic root of 13167288 is about 236.1377630978.

The spelling of 13167288 in words is "thirteen million, one hundred sixty-seven thousand, two hundred eighty-eight".