321628356 has 135 divisors (see below), whose sum is σ = 964252653. Its totient is φ = 90387360.

The previous prime is 321628337. The next prime is 321628361. The reversal of 321628356 is 653826123.

It is a happy number.

The square root of 321628356 is 17934.

It is a perfect power (a square), and thus also a powerful number.

321628356 is a `hidden beast` number, since 3 + 21 + 628 + 3 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10458756 + 311169600 = 3234^2 + 17640^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (51840) is a multiple of the sum of its prime factors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 321628356.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5272566 + ... + 5272626.

Almost surely, 2^321628356 is an apocalyptic number.

321628356 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

321628356 is the 17934-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321628356

321628356 is an abundant number, since it is smaller than the sum of its proper divisors (642624297).

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

321628356 is an equidigital number, since it uses as much as digits as its factorization.

321628356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 73 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The cubic root of 321628356 is about 685.1486036309.

Multiplying 321628356 by its sum of digits (36), we get a square (11578620816 = 107604²).

321628356 divided by its sum of digits (36) gives a square (8934121 = 2989²).

The spelling of 321628356 in words is "three hundred twenty-one million, six hundred twenty-eight thousand, three hundred fifty-six".