452117727828 has 144 divisors (see below), whose sum is σ = 1258933777920. Its totient is φ = 135938575872.

The previous prime is 452117727821. The next prime is 452117727857. The reversal of 452117727828 is 828727711254.

452117727828 is a `hidden beast` number, since 4 + 521 + 1 + 77 + 27 + 8 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452117727821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14215528 + ... + 14247296.

It is an arithmetic number, because the mean of its divisors is an integer number (8742595680).

Almost surely, 2^452117727828 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 452117727828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629466888960).

452117727828 is an abundant number, since it is smaller than the sum of its proper divisors (806816050092).

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

452117727828 is a wasteful number, since it uses less digits than its factorization.

452117727828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32486 (or 32481 counting only the distinct ones).

The product of its digits is 3512320, while the sum is 54.

The spelling of 452117727828 in words is "four hundred fifty-two billion, one hundred seventeen million, seven hundred twenty-seven thousand, eight hundred twenty-eight".