827231328 has 324 divisors, whose sum is σ = 3026738988. Its totient is φ = 211921920.

The previous prime is 827231323. The next prime is 827231371. The reversal of 827231328 is 823132728.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

Its product of digits (32256) is a multiple of the sum of its prime divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 827231292 and 827231301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827231323) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 11331900 + ... + 11331972.

It is an arithmetic number, because the mean of its divisors is an integer number (9341787).

Almost surely, 2^827231328 is an apocalyptic number.

827231328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827231328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513369494).

827231328 is an abundant number, since it is smaller than the sum of its proper divisors (2199507660).

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

827231328 is a wasteful number, since it uses less digits than its factorization.

827231328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 96 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 827231328 is about 28761.6294392373. The cubic root of 827231328 is about 938.7335169798.

The spelling of 827231328 in words is "eight hundred twenty-seven million, two hundred thirty-one thousand, three hundred twenty-eight".