5282629632 has 216 divisors, whose sum is σ = 17751210750. Its totient is φ = 1509064704.

The previous prime is 5282629631. The next prime is 5282629633. The reversal of 5282629632 is 2369262825.

5282629632 is a `hidden beast` number, since 5 + 2 + 8 + 2 + 6 + 2 + 9 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (5282629631) and next prime (5282629633).

It can be written as a sum of positive squares in only one way, i.e., 4790854656 + 491774976 = 69216^2 + 22176^2 .

It is not an unprimeable number, because it can be changed into a prime (5282629631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 900244 + ... + 906092.

Almost surely, 2^5282629632 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 5282629632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8875605375).

5282629632 is an abundant number, since it is smaller than the sum of its proper divisors (12468581118).

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

5282629632 is a wasteful number, since it uses less digits than its factorization.

5282629632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5891 (or 5861 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 5282629632 is about 72681.7008056361. The cubic root of 5282629632 is about 1741.6065700755.

The spelling of 5282629632 in words is "five billion, two hundred eighty-two million, six hundred twenty-nine thousand, six hundred thirty-two".