320428433325 has 384 divisors, whose sum is σ = 740560601088. Its totient is φ = 117936000000.

The previous prime is 320428433279. The next prime is 320428433359. The reversal of 320428433325 is 523334824023.

It is not a de Polignac number, because 320428433325 - 2¹³ = 320428425133 is a prime.

It is a super-2 number, since 2×320428433325² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 304879050 + ... + 304880100.

It is an arithmetic number, because the mean of its divisors is an integer number (1928543232).

Almost surely, 2^320428433325 is an apocalyptic number.

320428433325 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

320428433325 is an abundant number, since it is smaller than the sum of its proper divisors (420132167763).

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

320428433325 is a wasteful number, since it uses less digits than its factorization.

320428433325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 39.

The spelling of 320428433325 in words is "three hundred twenty billion, four hundred twenty-eight million, four hundred thirty-three thousand, three hundred twenty-five".