262828128 has 24 divisors (see below), whose sum is σ = 689924088. Its totient is φ = 87609344.

The previous prime is 262828127. The next prime is 262828133. The reversal of 262828128 is 821828262.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (262828127) 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 3 ways as a sum of consecutive naturals, for example, 1368801 + ... + 1368992.

It is an arithmetic number, because the mean of its divisors is an integer number (28746837).

Almost surely, 2^262828128 is an apocalyptic number.

It is an amenable number.

262828128 is an abundant number, since it is smaller than the sum of its proper divisors (427095960).

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

262828128 is a wasteful number, since it uses less digits than its factorization.

262828128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737806 (or 2737798 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The square root of 262828128 is about 16211.9748334372. The cubic root of 262828128 is about 640.5562611727.

The spelling of 262828128 in words is "two hundred sixty-two million, eight hundred twenty-eight thousand, one hundred twenty-eight".