393221308928 has 270 divisors, whose sum is σ = 948177619389. Its totient is φ = 162436313088.

The previous prime is 393221308913. The next prime is 393221308967. The reversal of 393221308928 is 829803122393.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 317248309504 + 75972999424 = 563248^2 + 275632^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=443408.

It is a super-2 number, since 2×393221308928² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3674965451 + ... + 3674965557.

Almost surely, 2^393221308928 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 393221308928

393221308928 is an abundant number, since it is smaller than the sum of its proper divisors (554956310461).

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

393221308928 is an frugal number, since it uses more digits than its factorization.

393221308928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 50.

Multiplying 393221308928 by its sum of digits (50), we get a square (19661065446400 = 4434080²).

The spelling of 393221308928 in words is "three hundred ninety-three billion, two hundred twenty-one million, three hundred eight thousand, nine hundred twenty-eight".