827228160 has 512 divisors, whose sum is σ = 3397334400. Its totient is φ = 188743680.

The previous prime is 827228119. The next prime is 827228191. The reversal of 827228160 is 61822728.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (512).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48660472 + ... + 48660488.

Almost surely, 2^827228160 is an apocalyptic number.

827228160 is a gapful number since it is divisible by the number (80) 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 827228160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698667200).

827228160 is an abundant number, since it is smaller than the sum of its proper divisors (2570106240).

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

827228160 is a wasteful number, since it uses less digits than its factorization.

827228160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 827228160 is about 28761.5743658097. The cubic root of 827228160 is about 938.7323186404.

The spelling of 827228160 in words is "eight hundred twenty-seven million, two hundred twenty-eight thousand, one hundred sixty".