13428468 has 36 divisors (see below), whose sum is σ = 34254948. Its totient is φ = 4435200.

The previous prime is 13428461. The next prime is 13428491. The reversal of 13428468 is 86482431.

It can be written as a sum of positive squares in 2 ways, for example, as 1192464 + 12236004 = 1092^2 + 3498^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2418 + ... + 5718.

Almost surely, 2^13428468 is an apocalyptic number.

13428468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13428468 is an abundant number, since it is smaller than the sum of its proper divisors (20826480).

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

13428468 is a wasteful number, since it uses less digits than its factorization.

13428468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3424 (or 3419 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 13428468 is about 3664.4874129952. The cubic root of 13428468 is about 237.6888573545.

The spelling of 13428468 in words is "thirteen million, four hundred twenty-eight thousand, four hundred sixty-eight".