1328148 has 36 divisors (see below), whose sum is σ = 3407040. Its totient is φ = 436176.

The previous prime is 1328143. The next prime is 1328161. The reversal of 1328148 is 8418231.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×1328148³ = 7028468011694333376, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2611 + ... + 3077.

It is an arithmetic number, because the mean of its divisors is an integer number (94640).

2^1328148 is an apocalyptic number.

1328148 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 1328148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703520).

1328148 is an abundant number, since it is smaller than the sum of its proper divisors (2078892).

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

1328148 is a wasteful number, since it uses less digits than its factorization.

1328148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 551 counting only the distinct ones).

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

The square root of 1328148 is about 1152.4530359195. The cubic root of 1328148 is about 109.9213763232.

The spelling of 1328148 in words is "one million, three hundred twenty-eight thousand, one hundred forty-eight".