13128588 has 96 divisors (see below), whose sum is σ = 38142720. Its totient is φ = 3870720.

The previous prime is 13128587. The next prime is 13128613. The reversal of 13128588 is 88582131.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13128581) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50956 + ... + 51212.

It is an arithmetic number, because the mean of its divisors is an integer number (397320).

Almost surely, 2^13128588 is an apocalyptic number.

13128588 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 13128588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19071360).

13128588 is an abundant number, since it is smaller than the sum of its proper divisors (25014132).

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

13128588 is a wasteful number, since it uses less digits than its factorization.

13128588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 316 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 13128588 is about 3623.3393437546. The cubic root of 13128588 is about 235.9061917698.

The spelling of 13128588 in words is "thirteen million, one hundred twenty-eight thousand, five hundred eighty-eight".