13028436480 has 160 divisors (see below), whose sum is σ = 43461753984. Its totient is φ = 3323150336.

The previous prime is 13028436469. The next prime is 13028436493. The reversal of 13028436480 is 8463482031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×13028436480² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139762 + ... + 213518.

Almost surely, 2^13028436480 is an apocalyptic number.

13028436480 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 13028436480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21730876992).

13028436480 is an abundant number, since it is smaller than the sum of its proper divisors (30433317504).

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

13028436480 is an equidigital number, since it uses as much as digits as its factorization.

13028436480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73806 (or 73790 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 13028436480 in words is "thirteen billion, twenty-eight million, four hundred thirty-six thousand, four hundred eighty".