828031248 has 240 divisors, whose sum is σ = 2762323200. Its totient is φ = 237479040.

The previous prime is 828031207. The next prime is 828031249. The reversal of 828031248 is 842130828.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (828031249) 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 47 ways as a sum of consecutive naturals, for example, 812083 + ... + 813101.

It is an arithmetic number, because the mean of its divisors is an integer number (11509680).

Almost surely, 2^828031248 is an apocalyptic number.

828031248 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828031248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381161600).

828031248 is an abundant number, since it is smaller than the sum of its proper divisors (1934291952).

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

828031248 is a wasteful number, since it uses less digits than its factorization.

828031248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 828031248 is about 28775.5321062878. The cubic root of 828031248 is about 939.0359998039.

The spelling of 828031248 in words is "eight hundred twenty-eight million, thirty-one thousand, two hundred forty-eight".