8432638032 has 160 divisors (see below), whose sum is σ = 27536626432. Its totient is φ = 2163843072.

The previous prime is 8432638021. The next prime is 8432638033. The reversal of 8432638032 is 2308362348.

It is a super-2 number, since 2×8432638032² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8432638033) 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 31 ways as a sum of consecutive naturals, for example, 135528 + ... + 187704.

Almost surely, 2^8432638032 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 8432638032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13768313216).

8432638032 is an abundant number, since it is smaller than the sum of its proper divisors (19103988400).

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

8432638032 is a wasteful number, since it uses less digits than its factorization.

8432638032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52245 (or 52239 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 8432638032 is about 91829.3963390809. The cubic root of 8432638032 is about 2035.4221028956.

The spelling of 8432638032 in words is "eight billion, four hundred thirty-two million, six hundred thirty-eight thousand, thirty-two".