13000428 has 72 divisors (see below), whose sum is σ = 39207168. Its totient is φ = 3551328.

The previous prime is 13000411. The next prime is 13000457. The reversal of 13000428 is 82400031.

It is a happy number.

It is a super-2 number, since 2×13000428² = 338022256366368, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13000428.

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, 4675 + ... + 6917.

It is an arithmetic number, because the mean of its divisors is an integer number (544544).

Almost surely, 2^13000428 is an apocalyptic number.

13000428 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 13000428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19603584).

13000428 is an abundant number, since it is smaller than the sum of its proper divisors (26206740).

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

13000428 is a wasteful number, since it uses less digits than its factorization.

13000428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2283 (or 2278 counting only the distinct ones).

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

The square root of 13000428 is about 3605.6106278965. The cubic root of 13000428 is about 235.1360491829.

Adding to 13000428 its reverse (82400031), we get a palindrome (95400459).

The spelling of 13000428 in words is "thirteen million, four hundred twenty-eight", and thus it is an aban number.