73828709184 has 224 divisors, whose sum is σ = 217442856960. Its totient is φ = 22010572800.

The previous prime is 73828709183. The next prime is 73828709191. The reversal of 73828709184 is 48190782837.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73828709183) 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, 4628647 + ... + 4644569.

It is an arithmetic number, because the mean of its divisors is an integer number (970727040).

Almost surely, 2^73828709184 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 73828709184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108721428480).

73828709184 is an abundant number, since it is smaller than the sum of its proper divisors (143614147776).

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

73828709184 is a wasteful number, since it uses less digits than its factorization.

73828709184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16029 (or 16019 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 57.

The spelling of 73828709184 in words is "seventy-three billion, eight hundred twenty-eight million, seven hundred nine thousand, one hundred eighty-four".