1322332128 has 288 divisors, whose sum is σ = 4273790976. Its totient is φ = 399748608.

The previous prime is 1322332117. The next prime is 1322332133. The reversal of 1322332128 is 8212332231.

It is a happy number.

1322332128 is a `hidden beast` number, since 1 + 322 + 332 + 1 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10412001 + ... + 10412127.

It is an arithmetic number, because the mean of its divisors is an integer number (14839552).

Almost surely, 2^1322332128 is an apocalyptic number.

1322332128 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 1322332128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2136895488).

1322332128 is an abundant number, since it is smaller than the sum of its proper divisors (2951458848).

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

1322332128 is a wasteful number, since it uses less digits than its factorization.

1322332128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 248 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 1322332128 is about 36363.8849409686. The cubic root of 1322332128 is about 1097.6069541870.

Adding to 1322332128 its reverse (8212332231), we get a palindrome (9534664359).

The spelling of 1322332128 in words is "one billion, three hundred twenty-two million, three hundred thirty-two thousand, one hundred twenty-eight".