95328000 has 216 divisors, whose sum is σ = 344054256. Its totient is φ = 25344000.

The previous prime is 95327971. The next prime is 95328001. The reversal of 95328000 is 82359.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95328001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287835 + ... + 288165.

Almost surely, 2^95328000 is an apocalyptic number.

95328000 is a gapful number since it is divisible by the number (90) 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 95328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172027128).

95328000 is an abundant number, since it is smaller than the sum of its proper divisors (248726256).

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

95328000 is a wasteful number, since it uses less digits than its factorization.

95328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 95328000 is about 9763.6058912678. The cubic root of 95328000 is about 456.8147943882.

The spelling of 95328000 in words is "ninety-five million, three hundred twenty-eight thousand".