84288128 has 32 divisors (see below), whose sum is σ = 172024020. Its totient is φ = 41113600.

The previous prime is 84288107. The next prime is 84288133. The reversal of 84288128 is 82188248.

It can be written as a sum of positive squares in 2 ways, for example, as 55472704 + 28815424 = 7448^2 + 5368^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2783 + ... + 13278.

Almost surely, 2^84288128 is an apocalyptic number.

It is an amenable number.

84288128 is an abundant number, since it is smaller than the sum of its proper divisors (87735892).

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

84288128 is a wasteful number, since it uses less digits than its factorization.

84288128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16116 (or 16104 counting only the distinct ones).

The product of its digits is 65536, while the sum is 41.

The square root of 84288128 is about 9180.8566049144. The cubic root of 84288128 is about 438.4520814748.

The spelling of 84288128 in words is "eighty-four million, two hundred eighty-eight thousand, one hundred twenty-eight".