827928192 has 512 divisors, whose sum is σ = 3015936000. Its totient is φ = 195084288.

The previous prime is 827928187. The next prime is 827928193. The reversal of 827928192 is 291829728.

It is a super-2 number, since 2×827928192² = 1370930182216777728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (290304) is a multiple of the sum of its prime factors (128).

It is not an unprimeable number, because it can be changed into a prime (827928193) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19254123 + ... + 19254165.

It is an arithmetic number, because the mean of its divisors is an integer number (5890500).

Almost surely, 2^827928192 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 827928192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507968000).

827928192 is an abundant number, since it is smaller than the sum of its proper divisors (2188007808).

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

827928192 is a wasteful number, since it uses less digits than its factorization.

827928192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 116 counting only the distinct ones).

The product of its digits is 290304, while the sum is 48.

The square root of 827928192 is about 28773.7413625688. The cubic root of 827928192 is about 938.9970410048.

The spelling of 827928192 in words is "eight hundred twenty-seven million, nine hundred twenty-eight thousand, one hundred ninety-two".