13428464 has 40 divisors (see below), whose sum is σ = 30379008. Its totient is φ = 5630400.

The previous prime is 13428461. The next prime is 13428491. The reversal of 13428464 is 46482431.

It is a self number, because there is not a number n which added to its sum of digits gives 13428464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13428461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3989 + ... + 6539.

Almost surely, 2^13428464 is an apocalyptic number.

13428464 is a gapful number since it is divisible by the number (14) 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 13428464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15189504).

13428464 is an abundant number, since it is smaller than the sum of its proper divisors (16950544).

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

13428464 is a wasteful number, since it uses less digits than its factorization.

13428464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2613 (or 2607 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The square root of 13428464 is about 3664.4868672162. The cubic root of 13428464 is about 237.6888337540.

The spelling of 13428464 in words is "thirteen million, four hundred twenty-eight thousand, four hundred sixty-four".