328070205936 has 1080 divisors, whose sum is σ = 1179486730240. Its totient is φ = 87944693760.

The previous prime is 328070205929. The next prime is 328070205949. The reversal of 328070205936 is 639502070823.

328070205936 is a `hidden beast` number, since 32 + 8 + 0 + 7 + 0 + 20 + 593 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 328070205891 and 328070205900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2583229905 + ... + 2583230031.

Almost surely, 2^328070205936 is an apocalyptic number.

328070205936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328070205936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589743365120).

328070205936 is an abundant number, since it is smaller than the sum of its proper divisors (851416524304).

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

328070205936 is a wasteful number, since it uses less digits than its factorization.

328070205936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 328070205936 in words is "three hundred twenty-eight billion, seventy million, two hundred five thousand, nine hundred thirty-six".