321472128 has 64 divisors (see below), whose sum is σ = 873813600. Its totient is φ = 104659968.

The previous prime is 321472121. The next prime is 321472147. The reversal of 321472128 is 821274123.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 321472095 and 321472104.

It is not an unprimeable number, because it can be changed into a prime (321472121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6778 + ... + 26246.

Almost surely, 2^321472128 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 321472128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436906800).

321472128 is an abundant number, since it is smaller than the sum of its proper divisors (552341472).

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

321472128 is a wasteful number, since it uses less digits than its factorization.

321472128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19529 (or 19517 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 321472128 is about 17929.6438336070. The cubic root of 321472128 is about 685.0376507978.

The spelling of 321472128 in words is "three hundred twenty-one million, four hundred seventy-two thousand, one hundred twenty-eight".