13028148 has 96 divisors (see below), whose sum is σ = 40678400. Its totient is φ = 3522528.

The previous prime is 13028123. The next prime is 13028149. The reversal of 13028148 is 84182031.

13028148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13028148³ (a number of 22 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13028149) 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, 13911 + ... + 14817.

Almost surely, 2^13028148 is an apocalyptic number.

13028148 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 13028148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20339200).

13028148 is an abundant number, since it is smaller than the sum of its proper divisors (27650252).

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

13028148 is a wasteful number, since it uses less digits than its factorization.

13028148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 938 counting only the distinct ones).

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

The square root of 13028148 is about 3609.4525900751. The cubic root of 13028148 is about 235.3030525087.

The spelling of 13028148 in words is "thirteen million, twenty-eight thousand, one hundred forty-eight".