13428000 has 144 divisors (see below), whose sum is σ = 47783736. Its totient is φ = 3571200.

The previous prime is 13427983. The next prime is 13428049. The reversal of 13428000 is 82431.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4210704 + 9217296 = 2052^2 + 3036^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×13428000² = 360622368000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35814 + ... + 36186.

Almost surely, 2^13428000 is an apocalyptic number.

13428000 is a gapful number since it is divisible by the number (10) 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 13428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23891868).

13428000 is an abundant number, since it is smaller than the sum of its proper divisors (34355736).

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

13428000 is a wasteful number, since it uses less digits than its factorization.

13428000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 13428000 is about 3664.4235563046. The cubic root of 13428000 is about 237.6860960646.

The spelling of 13428000 in words is "thirteen million, four hundred twenty-eight thousand".