96347328 has 280 divisors, whose sum is σ = 341497920. Its totient is φ = 23708160.

The previous prime is 96347323. The next prime is 96347341. The reversal of 96347328 is 82374369.

It is a super-2 number, since 2×96347328² = 18565615225479168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (217728) is a multiple of the sum of its prime divisors (42).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 96347328.

It is not an unprimeable number, because it can be changed into a prime (96347323) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5070903 + ... + 5070921.

Almost surely, 2^96347328 is an apocalyptic number.

96347328 is a gapful number since it is divisible by the number (98) 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 96347328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170748960).

96347328 is an abundant number, since it is smaller than the sum of its proper divisors (245150592).

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

96347328 is a wasteful number, since it uses less digits than its factorization.

96347328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 42 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 96347328 is about 9815.6674760303. The cubic root of 96347328 is about 458.4372425419.

The spelling of 96347328 in words is "ninety-six million, three hundred forty-seven thousand, three hundred twenty-eight".