828040192 has 88 divisors (see below), whose sum is σ = 1902891200. Its totient is φ = 352788480.

The previous prime is 828040183. The next prime is 828040211. The reversal of 828040192 is 291040828.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2372434 + ... + 2372782.

Almost surely, 2^828040192 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 828040192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951445600).

828040192 is an abundant number, since it is smaller than the sum of its proper divisors (1074851008).

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

828040192 is a wasteful number, since it uses less digits than its factorization.

828040192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 828040192 is about 28775.6875156789. The cubic root of 828040192 is about 939.0393807985.

The spelling of 828040192 in words is "eight hundred twenty-eight million, forty thousand, one hundred ninety-two".