95382848 has 84 divisors (see below), whose sum is σ = 211813140. Its totient is φ = 42577920.

The previous prime is 95382829. The next prime is 95382871. The reversal of 95382848 is 84828359.

It can be written as a sum of positive squares in 2 ways, for example, as 26956864 + 68425984 = 5192^2 + 8272^2 .

It is a super-2 number, since 2×95382848² = 18195775385182208, which contains 22 as substring.

Its product of digits (552960) is a multiple of the sum of its prime factors (256).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 844040 + ... + 844152.

It is an arithmetic number, because the mean of its divisors is an integer number (2521585).

Almost surely, 2^95382848 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 95382848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105906570).

95382848 is an abundant number, since it is smaller than the sum of its proper divisors (116430292).

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

95382848 is a wasteful number, since it uses less digits than its factorization.

95382848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 235 counting only the distinct ones).

The product of its digits is 552960, while the sum is 47.

The square root of 95382848 is about 9766.4142857038. The cubic root of 95382848 is about 456.9023887084.

The spelling of 95382848 in words is "ninety-five million, three hundred eighty-two thousand, eight hundred forty-eight".