95828000 has 48 divisors (see below), whose sum is σ = 235459224. Its totient is φ = 38329600.

The previous prime is 95827999. The next prime is 95828003. The reversal of 95828000 is 82859.

It can be written as a sum of positive squares in 4 ways, for example, as 43930384 + 51897616 = 6628^2 + 7204^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (95828003) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7979 + ... + 15978.

Almost surely, 2^95828000 is an apocalyptic number.

It is an amenable number.

95828000 is an abundant number, since it is smaller than the sum of its proper divisors (139631224).

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

95828000 is a wasteful number, since it uses less digits than its factorization.

95828000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23982 (or 23964 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 95828000 is about 9789.1776978457. The cubic root of 95828000 is about 457.6120740290.

The spelling of 95828000 in words is "ninety-five million, eight hundred twenty-eight thousand".