828990288 has 400 divisors, whose sum is σ = 2981594880. Its totient is φ = 217147392.

The previous prime is 828990271. The next prime is 828990289. The reversal of 828990288 is 882099828.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828990289) 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 79 ways as a sum of consecutive naturals, for example, 6050956 + ... + 6051092.

Almost surely, 2^828990288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828990288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490797440).

828990288 is an abundant number, since it is smaller than the sum of its proper divisors (2152604592).

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

828990288 is a wasteful number, since it uses less digits than its factorization.

828990288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The square root of 828990288 is about 28792.1914414308. The cubic root of 828990288 is about 939.3983957982.

The spelling of 828990288 in words is "eight hundred twenty-eight million, nine hundred ninety thousand, two hundred eighty-eight".