95832352 has 192 divisors, whose sum is σ = 261273600. Its totient is φ = 33454080.

The previous prime is 95832323. The next prime is 95832379. The reversal of 95832352 is 25323859.

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1076724 + ... + 1076812.

It is an arithmetic number, because the mean of its divisors is an integer number (1360800).

Almost surely, 2^95832352 is an apocalyptic number.

95832352 is a gapful number since it is divisible by the number (92) 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 95832352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130636800).

95832352 is an abundant number, since it is smaller than the sum of its proper divisors (165441248).

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

95832352 is a wasteful number, since it uses less digits than its factorization.

95832352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 151 counting only the distinct ones).

The product of its digits is 64800, while the sum is 37.

The square root of 95832352 is about 9789.3999816128. The cubic root of 95832352 is about 457.6190013627.

It can be divided in two parts, 95832 and 352, that multiplied together give a square (33732864 = 5808²).

The spelling of 95832352 in words is "ninety-five million, eight hundred thirty-two thousand, three hundred fifty-two".