828178992 has 280 divisors, whose sum is σ = 2626610160. Its totient is φ = 251942400.

The previous prime is 828178969. The next prime is 828178997. The reversal of 828178992 is 299871828.

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

Its product of digits (1161216) is a multiple of the sum of its prime divisors (162).

It is not an unprimeable number, because it can be changed into a prime (828178997) 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 55 ways as a sum of consecutive naturals, for example, 8199742 + ... + 8199842.

Almost surely, 2^828178992 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 828178992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313305080).

828178992 is an abundant number, since it is smaller than the sum of its proper divisors (1798431168).

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

828178992 is a wasteful number, since it uses less digits than its factorization.

828178992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 162 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 54.

The square root of 828178992 is about 28778.0991728085. The cubic root of 828178992 is about 939.0918466029.

It can be divided in two parts, 82817 and 8992, that added together give a square (91809 = 303²).

The spelling of 828178992 in words is "eight hundred twenty-eight million, one hundred seventy-eight thousand, nine hundred ninety-two".