13428000580 has 48 divisors (see below), whose sum is σ = 28814558976. Its totient is φ = 5254039040.

The previous prime is 13428000559. The next prime is 13428000581. The reversal of 13428000580 is 8500082431.

It is a super-2 number, since 2×13428000580² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13428000581) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2720715 + ... + 2725645.

It is an arithmetic number, because the mean of its divisors is an integer number (600303312).

Almost surely, 2^13428000580 is an apocalyptic number.

13428000580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13428000580 is the 57940-th decagonal number.

It is an amenable number.

13428000580 is an abundant number, since it is smaller than the sum of its proper divisors (15386558396).

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

13428000580 is a wasteful number, since it uses less digits than its factorization.

13428000580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7884 (or 7882 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The spelling of 13428000580 in words is "thirteen billion, four hundred twenty-eight million, five hundred eighty", and thus it is an aban number.