52638432 has 96 divisors (see below), whose sum is σ = 172295424. Its totient is φ = 13670400.

The previous prime is 52638419. The next prime is 52638437. The reversal of 52638432 is 23483625.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 52638393 and 52638402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52638437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3832 + ... + 10952.

It is an arithmetic number, because the mean of its divisors is an integer number (1794744).

Almost surely, 2^52638432 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 52638432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86147712).

52638432 is an abundant number, since it is smaller than the sum of its proper divisors (119656992).

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

52638432 is a wasteful number, since it uses less digits than its factorization.

52638432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7152 (or 7144 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 52638432 is about 7255.2347997842. The cubic root of 52638432 is about 374.7724414958.

It can be divided in two parts, 5263 and 8432, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 52638432 in words is "fifty-two million, six hundred thirty-eight thousand, four hundred thirty-two".