827965152 has 432 divisors, whose sum is σ = 2964557232. Its totient is φ = 226437120.

The previous prime is 827965121. The next prime is 827965213. The reversal of 827965152 is 251569728.

It is a tau number, because it is divible by the number of its divisors (432).

It is a junction number, because it is equal to n+sod(n) for n = 827965098 and 827965107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15621958 + ... + 15622010.

It is an arithmetic number, because the mean of its divisors is an integer number (6862401).

Almost surely, 2^827965152 is an apocalyptic number.

827965152 is a gapful number since it is divisible by the number (82) 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 827965152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482278616).

827965152 is an abundant number, since it is smaller than the sum of its proper divisors (2136592080).

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

827965152 is a wasteful number, since it uses less digits than its factorization.

827965152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 106 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 827965152 is about 28774.3836076466. The cubic root of 827965152 is about 939.0110135588.

The spelling of 827965152 in words is "eight hundred twenty-seven million, nine hundred sixty-five thousand, one hundred fifty-two".