73538168028 has 96 divisors (see below), whose sum is σ = 186663892800. Its totient is φ = 22397865984.

The previous prime is 73538168017. The next prime is 73538168029. The reversal of 73538168028 is 82086183537.

It is a super-2 number, since 2×73538168028² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73538168029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31847338 + ... + 31849646.

It is an arithmetic number, because the mean of its divisors is an integer number (1944415550).

Almost surely, 2^73538168028 is an apocalyptic number.

73538168028 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73538168028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93331946400).

73538168028 is an abundant number, since it is smaller than the sum of its proper divisors (113125724772).

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

73538168028 is a wasteful number, since it uses less digits than its factorization.

73538168028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4311 (or 4309 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 73538168028 in words is "seventy-three billion, five hundred thirty-eight million, one hundred sixty-eight thousand, twenty-eight".