73928008 has 64 divisors (see below), whose sum is σ = 176901120. Its totient is φ = 28123200.

The previous prime is 73927999. The next prime is 73928033. The reversal of 73928008 is 80082937.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25093 + ... + 27883.

It is an arithmetic number, because the mean of its divisors is an integer number (2764080).

Almost surely, 2^73928008 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 73928008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88450560).

73928008 is an abundant number, since it is smaller than the sum of its proper divisors (102973112).

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

73928008 is a wasteful number, since it uses less digits than its factorization.

73928008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2858 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 73928008 is about 8598.1397988170. The cubic root of 73928008 is about 419.6974540718.

It can be divided in two parts, 7392 and 8008, that added together give a triangular number (15400 = T₁₇₅).

The spelling of 73928008 in words is "seventy-three million, nine hundred twenty-eight thousand, eight".