828268144 has 40 divisors (see below), whose sum is σ = 1754352000. Its totient is φ = 375691200.

The previous prime is 828268141. The next prime is 828268151. The reversal of 828268144 is 441862828.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 828268144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828268141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83109 + ... + 92539.

It is an arithmetic number, because the mean of its divisors is an integer number (43858800).

Almost surely, 2^828268144 is an apocalyptic number.

It is an amenable number.

828268144 is an abundant number, since it is smaller than the sum of its proper divisors (926083856).

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

828268144 is a wasteful number, since it uses less digits than its factorization.

828268144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9949 (or 9943 counting only the distinct ones).

The product of its digits is 196608, while the sum is 43.

The square root of 828268144 is about 28779.6480867991. The cubic root of 828268144 is about 939.1255425845.

The spelling of 828268144 in words is "eight hundred twenty-eight million, two hundred sixty-eight thousand, one hundred forty-four".