73385928 has 288 divisors, whose sum is σ = 264625920. Its totient is φ = 18144000.

The previous prime is 73385909. The next prime is 73385933. The reversal of 73385928 is 82958337.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1203018 + ... + 1203078.

It is an arithmetic number, because the mean of its divisors is an integer number (918840).

Almost surely, 2^73385928 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 73385928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132312960).

73385928 is an abundant number, since it is smaller than the sum of its proper divisors (191239992).

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

73385928 is a wasteful number, since it uses less digits than its factorization.

73385928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 115 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 73385928 is about 8566.5587023028. The cubic root of 73385928 is about 418.6691205494.

The spelling of 73385928 in words is "seventy-three million, three hundred eighty-five thousand, nine hundred twenty-eight".