96933020328 has 256 divisors, whose sum is σ = 291108384000. Its totient is φ = 29785190400.

The previous prime is 96933020323. The next prime is 96933020329. The reversal of 96933020328 is 82302033969.

96933020328 is a `hidden beast` number, since 96 + 9 + 330 + 203 + 28 = 666.

It is a super-2 number, since 2×96933020328² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (96933020323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127375468 + ... + 127376228.

It is an arithmetic number, because the mean of its divisors is an integer number (1137142125).

Almost surely, 2^96933020328 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 96933020328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145554192000).

96933020328 is an abundant number, since it is smaller than the sum of its proper divisors (194175363672).

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

96933020328 is a wasteful number, since it uses less digits than its factorization.

96933020328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 96933020328 in words is "ninety-six billion, nine hundred thirty-three million, twenty thousand, three hundred twenty-eight".