332128000 has 144 divisors (see below), whose sum is σ = 843714144. Its totient is φ = 130252800.

The previous prime is 332127979. The next prime is 332128009. The reversal of 332128000 is 821233.

It is a happy number.

It is a super-2 number, since 2×332128000² = 220618016768000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332128009) 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, 3103947 + ... + 3104053.

It is an arithmetic number, because the mean of its divisors is an integer number (5859126).

Almost surely, 2^332128000 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 332128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421857072).

332128000 is an abundant number, since it is smaller than the sum of its proper divisors (511586144).

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

332128000 is an equidigital number, since it uses as much as digits as its factorization.

332128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 332128000 is about 18224.3792761235. The cubic root of 332128000 is about 692.5245335311.

Adding to 332128000 its reverse (821233), we get a palindrome (332949233).

The spelling of 332128000 in words is "three hundred thirty-two million, one hundred twenty-eight thousand".