97289728 has 80 divisors (see below), whose sum is σ = 208937520. Its totient is φ = 45121536.

The previous prime is 97289713. The next prime is 97289729. The reversal of 97289728 is 82798279.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97289729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 710076 + ... + 710212.

It is an arithmetic number, because the mean of its divisors is an integer number (2611719).

Almost surely, 2^97289728 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 97289728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104468760).

97289728 is an abundant number, since it is smaller than the sum of its proper divisors (111647792).

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

97289728 is a wasteful number, since it uses less digits than its factorization.

97289728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 231 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 52.

The square root of 97289728 is about 9863.5555455424. Note that the first 4 decimals coincide. The cubic root of 97289728 is about 459.9270961968.

The spelling of 97289728 in words is "ninety-seven million, two hundred eighty-nine thousand, seven hundred twenty-eight".