328778240158368 has 6912 divisors, whose sum is σ = 1502674769756160. Its totient is φ = 66518168371200.

The previous prime is 328778240158339. The next prime is 328778240158373. The reversal of 328778240158368 is 863851042877823.

328778240158368 is a `hidden beast` number, since 3 + 2 + 8 + 7 + 7 + 8 + 240 + 15 + 8 + 368 = 666.

It is a super-3 number, since 3×328778240158368³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 328778240158296 and 328778240158305.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 1070938892871 + ... + 1070938893177.

It is an arithmetic number, because the mean of its divisors is an integer number (217400863680).

Almost surely, 2^{328778240158368} is an apocalyptic number.

328778240158368 is a gapful number since it is divisible by the number (38) 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 328778240158368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751337384878080).

328778240158368 is an abundant number, since it is smaller than the sum of its proper divisors (1173896529597792).

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

328778240158368 is a wasteful number, since it uses less digits than its factorization.

328778240158368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 867041280, while the sum is 72.

The spelling of 328778240158368 in words is "three hundred twenty-eight trillion, seven hundred seventy-eight billion, two hundred forty million, one hundred fifty-eight thousand, three hundred sixty-eight".