828448152 has 64 divisors (see below), whose sum is σ = 2381594880. Its totient is φ = 235239552.

The previous prime is 828448151. The next prime is 828448163. The reversal of 828448152 is 251844828.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828448151) 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 15 ways as a sum of consecutive naturals, for example, 12258 + ... + 42510.

It is an arithmetic number, because the mean of its divisors is an integer number (37212420).

Almost surely, 2^828448152 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 828448152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190797440).

828448152 is an abundant number, since it is smaller than the sum of its proper divisors (1553146728).

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

828448152 is a wasteful number, since it uses less digits than its factorization.

828448152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30432 (or 30428 counting only the distinct ones).

The product of its digits is 163840, while the sum is 42.

The square root of 828448152 is about 28782.7752657731. The cubic root of 828448152 is about 939.1935712243.

The spelling of 828448152 in words is "eight hundred twenty-eight million, four hundred forty-eight thousand, one hundred fifty-two".