828349992 has 96 divisors (see below), whose sum is σ = 2371356000. Its totient is φ = 260496000.

The previous prime is 828349987. The next prime is 828349993. The reversal of 828349992 is 299943828.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (828349993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 366867 + ... + 369117.

It is an arithmetic number, because the mean of its divisors is an integer number (24701625).

Almost surely, 2^828349992 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 828349992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185678000).

828349992 is an abundant number, since it is smaller than the sum of its proper divisors (1543006008).

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

828349992 is a wasteful number, since it uses less digits than its factorization.

828349992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2551 (or 2544 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 828349992 is about 28781.0700287533. The cubic root of 828349992 is about 939.1564758099.

The spelling of 828349992 in words is "eight hundred twenty-eight million, three hundred forty-nine thousand, nine hundred ninety-two".