71828638 has 48 divisors (see below), whose sum is σ = 134303904. Its totient is φ = 28200960.

The previous prime is 71828633. The next prime is 71828651. The reversal of 71828638 is 83682817.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 71828594 and 71828603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71828633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165670 + ... + 166102.

It is an arithmetic number, because the mean of its divisors is an integer number (2797998).

Almost surely, 2^71828638 is an apocalyptic number.

71828638 is a deficient number, since it is larger than the sum of its proper divisors (62475266).

71828638 is a wasteful number, since it uses less digits than its factorization.

71828638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 500 counting only the distinct ones).

The product of its digits is 129024, while the sum is 43.

The square root of 71828638 is about 8475.1777562479. The cubic root of 71828638 is about 415.6864586072.

The spelling of 71828638 in words is "seventy-one million, eight hundred twenty-eight thousand, six hundred thirty-eight".