1321528128 has 112 divisors (see below), whose sum is σ = 3701613120. Its totient is φ = 414941184.

The previous prime is 1321528123. The next prime is 1321528139. The reversal of 1321528128 is 8218251231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321528121) 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, 703126 + ... + 705002.

Almost surely, 2^1321528128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1321528128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850806560).

1321528128 is an abundant number, since it is smaller than the sum of its proper divisors (2380084992).

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

1321528128 is a wasteful number, since it uses less digits than its factorization.

1321528128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104 (or 2094 counting only the distinct ones).

The product of its digits is 7680, while the sum is 33.

The square root of 1321528128 is about 36352.8283356330. The cubic root of 1321528128 is about 1097.3844546384.

Adding to 1321528128 its reverse (8218251231), we get a palindrome (9539779359).

The spelling of 1321528128 in words is "one billion, three hundred twenty-one million, five hundred twenty-eight thousand, one hundred twenty-eight".