13128480 has 120 divisors (see below), whose sum is σ = 46378332. Its totient is φ = 3497472.

The previous prime is 13128461. The next prime is 13128499. The reversal of 13128480 is 8482131.

It is an interprime number because it is at equal distance from previous prime (13128461) and next prime (13128499).

It can be written as a sum of positive squares in 2 ways, for example, as 10732176 + 2396304 = 3276^2 + 1548^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×13128480² = 344713974220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12454 + ... + 13466.

Almost surely, 2^13128480 is an apocalyptic number.

13128480 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 13128480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23189166).

13128480 is an abundant number, since it is smaller than the sum of its proper divisors (33249852).

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

13128480 is a wasteful number, since it uses less digits than its factorization.

13128480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 13128480 is about 3623.3244403448. The cubic root of 13128480 is about 235.9055448879.

The spelling of 13128480 in words is "thirteen million, one hundred twenty-eight thousand, four hundred eighty".