73242828288 has 840 divisors, whose sum is σ = 269122639632. Its totient is φ = 19492503552.

The previous prime is 73242828257. The next prime is 73242828289. The reversal of 73242828288 is 88282824237.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73242828289) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 755080656 + ... + 755080752.

Almost surely, 2^73242828288 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 73242828288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134561319816).

73242828288 is an abundant number, since it is smaller than the sum of its proper divisors (195879811344).

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

73242828288 is an frugal number, since it uses more digits than its factorization.

73242828288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 126 counting only the distinct ones).

The product of its digits is 5505024, while the sum is 54.

The spelling of 73242828288 in words is "seventy-three billion, two hundred forty-two million, eight hundred twenty-eight thousand, two hundred eighty-eight".