5629917132 has 432 divisors, whose sum is σ = 18979440480. Its totient is φ = 1393459200.

The previous prime is 5629917131. The next prime is 5629917133. The reversal of 5629917132 is 2317199265.

It is a happy number.

5629917132 is a `hidden beast` number, since 5 + 629 + 9 + 1 + 7 + 13 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (5629917131) and next prime (5629917133).

It is not an unprimeable number, because it can be changed into a prime (5629917131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23360532 + ... + 23360772.

It is an arithmetic number, because the mean of its divisors is an integer number (43933890).

Almost surely, 2^5629917132 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 5629917132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9489720240).

5629917132 is an abundant number, since it is smaller than the sum of its proper divisors (13349523348).

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

5629917132 is a wasteful number, since it uses less digits than its factorization.

5629917132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 330 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 5629917132 is about 75032.7737192222. The cubic root of 5629917132 is about 1778.9647150631.

It can be divided in two parts, 5629 and 917132, that added together give a triangular number (922761 = T₁₃₅₈).

The spelling of 5629917132 in words is "five billion, six hundred twenty-nine million, nine hundred seventeen thousand, one hundred thirty-two".