95628192 has 96 divisors (see below), whose sum is σ = 276260544. Its totient is φ = 28723200.

The previous prime is 95628191. The next prime is 95628199. The reversal of 95628192 is 29182659.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×95628192² = 18289502210377728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (95628191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144342 + ... + 145002.

It is an arithmetic number, because the mean of its divisors is an integer number (2877714).

Almost surely, 2^95628192 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 95628192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138130272).

95628192 is an abundant number, since it is smaller than the sum of its proper divisors (180632352).

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

95628192 is a wasteful number, since it uses less digits than its factorization.

95628192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 814 counting only the distinct ones).

The product of its digits is 77760, while the sum is 42.

The square root of 95628192 is about 9778.9668165916. The cubic root of 95628192 is about 457.2938017908.

The spelling of 95628192 in words is "ninety-five million, six hundred twenty-eight thousand, one hundred ninety-two".